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Finding the Fourth Proportional to 551,472.30, 827,208.45 and 411,504.30

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Solution

The fourth proportional to 551,472.30, 827,208.45 and 411,504.30 is: 617,256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,472.30 : 827,208.45 = 411,504.30 : x
  2. Step 2: Convert to fraction form
    551,472.30/827,208.45 = 411,504.30/x
  3. Step 3: Cross multiply
    551,472.30x = 827,208.45 × 411,504.30
  4. Step 4: Simplify right side
    551,472.30x = 340,399,834,171.34
  5. Step 5: Solve for x
    x = 340,399,834,171.34/551,472.30
  6. Step 6: Final answer
    x = 617,256.45

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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.