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Finding the Fourth Proportional to 827,135.40, 1,240,703.10 and 407,231.40

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Solution

The fourth proportional to 827,135.40, 1,240,703.10 and 407,231.40 is: 610,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,135.40 : 1,240,703.10 = 407,231.40 : x
  2. Step 2: Convert to fraction form
    827,135.40/1,240,703.10 = 407,231.40/x
  3. Step 3: Cross multiply
    827,135.40x = 1,240,703.10 × 407,231.40
  4. Step 4: Simplify right side
    827,135.40x = 505,253,260,397.34
  5. Step 5: Solve for x
    x = 505,253,260,397.34/827,135.40
  6. Step 6: Final answer
    x = 610,847.10

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.