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Finding the Fourth Proportional to 274,565.97, 411,691.22 and 146,324.34

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Solution

The fourth proportional to 274,565.97, 411,691.22 and 146,324.34 is: 219,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,565.97 : 411,691.22 = 146,324.34 : x
  2. Step 2: Convert to fraction form
    274,565.97/411,691.22 = 146,324.34/x
  3. Step 3: Cross multiply
    274,565.97x = 411,691.22 × 146,324.34
  4. Step 4: Simplify right side
    274,565.97x = 60,240,444,323.55
  5. Step 5: Solve for x
    x = 60,240,444,323.55/274,565.97
  6. Step 6: Final answer
    x = 219,402.45

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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.