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Finding the Fourth Proportional to 329,033.92, 493,753.92 and 129,319.24

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Solution

The fourth proportional to 329,033.92, 493,753.92 and 129,319.24 is: 194,058.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,033.92 : 493,753.92 = 129,319.24 : x
  2. Step 2: Convert to fraction form
    329,033.92/493,753.92 = 129,319.24/x
  3. Step 3: Cross multiply
    329,033.92x = 493,753.92 × 129,319.24
  4. Step 4: Simplify right side
    329,033.92x = 63,851,881,681.42
  5. Step 5: Solve for x
    x = 63,851,881,681.42/329,033.92
  6. Step 6: Final answer
    x = 194,058.66

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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.