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Finding the Fourth Proportional to 329,029.92, 493,747.92 and 129,315.24

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Solution

The fourth proportional to 329,029.92, 493,747.92 and 129,315.24 is: 194,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,029.92 : 493,747.92 = 129,315.24 : x
  2. Step 2: Convert to fraction form
    329,029.92/493,747.92 = 129,315.24/x
  3. Step 3: Cross multiply
    329,029.92x = 493,747.92 × 129,315.24
  4. Step 4: Simplify right side
    329,029.92x = 63,849,130,774.30
  5. Step 5: Solve for x
    x = 63,849,130,774.30/329,029.92
  6. Step 6: Final answer
    x = 194,052.66

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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.