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Finding the Fourth Proportional to 257,722.46, 386,428.34 and 115,542

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Solution

The fourth proportional to 257,722.46, 386,428.34 and 115,542 is: 173,243.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,722.46 : 386,428.34 = 115,542 : x
  2. Step 2: Convert to fraction form
    257,722.46/386,428.34 = 115,542/x
  3. Step 3: Cross multiply
    257,722.46x = 386,428.34 × 115,542
  4. Step 4: Simplify right side
    257,722.46x = 44,648,703,260.28
  5. Step 5: Solve for x
    x = 44,648,703,260.28/257,722.46
  6. Step 6: Final answer
    x = 173,243.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.