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Finding the Fourth Proportional to 585,733.68, 808,021.17 and 394,414.92

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Solution

The fourth proportional to 585,733.68, 808,021.17 and 394,414.92 is: 544,096.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,733.68 : 808,021.17 = 394,414.92 : x
  2. Step 2: Convert to fraction form
    585,733.68/808,021.17 = 394,414.92/x
  3. Step 3: Cross multiply
    585,733.68x = 808,021.17 × 394,414.92
  4. Step 4: Simplify right side
    585,733.68x = 318,695,605,123.86
  5. Step 5: Solve for x
    x = 318,695,605,123.86/585,733.68
  6. Step 6: Final answer
    x = 544,096.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.