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Finding the Fourth Proportional to 415,807.40, 623,711.10 and 398,092.70

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Solution

The fourth proportional to 415,807.40, 623,711.10 and 398,092.70 is: 597,139.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,807.40 : 623,711.10 = 398,092.70 : x
  2. Step 2: Convert to fraction form
    415,807.40/623,711.10 = 398,092.70/x
  3. Step 3: Cross multiply
    415,807.40x = 623,711.10 × 398,092.70
  4. Step 4: Simplify right side
    415,807.40x = 248,294,835,818.97
  5. Step 5: Solve for x
    x = 248,294,835,818.97/415,807.40
  6. Step 6: Final answer
    x = 597,139.05

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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.