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Finding the Fourth Proportional to 551,470.30, 827,205.45 and 411,502.30

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Solution

The fourth proportional to 551,470.30, 827,205.45 and 411,502.30 is: 617,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,470.30 : 827,205.45 = 411,502.30 : x
  2. Step 2: Convert to fraction form
    551,470.30/827,205.45 = 411,502.30/x
  3. Step 3: Cross multiply
    551,470.30x = 827,205.45 × 411,502.30
  4. Step 4: Simplify right side
    551,470.30x = 340,396,945,247.54
  5. Step 5: Solve for x
    x = 340,396,945,247.54/551,470.30
  6. Step 6: Final answer
    x = 617,253.45

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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.