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Finding the Fourth Proportional to 537,714.90, 742,711.41 and 394,247.70

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Solution

The fourth proportional to 537,714.90, 742,711.41 and 394,247.70 is: 544,549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,714.90 : 742,711.41 = 394,247.70 : x
  2. Step 2: Convert to fraction form
    537,714.90/742,711.41 = 394,247.70/x
  3. Step 3: Cross multiply
    537,714.90x = 742,711.41 × 394,247.70
  4. Step 4: Simplify right side
    537,714.90x = 292,812,265,156.26
  5. Step 5: Solve for x
    x = 292,812,265,156.26/537,714.90
  6. Step 6: Final answer
    x = 544,549.29

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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.