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Finding the Fourth Proportional to 656,540.74, 984,897.23 and 257,129.61

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Solution

The fourth proportional to 656,540.74, 984,897.23 and 257,129.61 is: 385,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,540.74 : 984,897.23 = 257,129.61 : x
  2. Step 2: Convert to fraction form
    656,540.74/984,897.23 = 257,129.61/x
  3. Step 3: Cross multiply
    656,540.74x = 984,897.23 × 257,129.61
  4. Step 4: Simplify right side
    656,540.74x = 253,246,235,660.97
  5. Step 5: Solve for x
    x = 253,246,235,660.97/656,540.74
  6. Step 6: Final answer
    x = 385,728.13

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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.