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Finding the Fourth Proportional to 577,609.80, 866,414.70 and 409,648.20

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Solution

The fourth proportional to 577,609.80, 866,414.70 and 409,648.20 is: 614,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,609.80 : 866,414.70 = 409,648.20 : x
  2. Step 2: Convert to fraction form
    577,609.80/866,414.70 = 409,648.20/x
  3. Step 3: Cross multiply
    577,609.80x = 866,414.70 × 409,648.20
  4. Step 4: Simplify right side
    577,609.80x = 354,925,222,308.54
  5. Step 5: Solve for x
    x = 354,925,222,308.54/577,609.80
  6. Step 6: Final answer
    x = 614,472.30

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Similar ratio
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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.