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Finding the Fourth Proportional to 329,082.80, 493,624.20 and 162,849.20

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Solution

The fourth proportional to 329,082.80, 493,624.20 and 162,849.20 is: 244,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,082.80 : 493,624.20 = 162,849.20 : x
  2. Step 2: Convert to fraction form
    329,082.80/493,624.20 = 162,849.20/x
  3. Step 3: Cross multiply
    329,082.80x = 493,624.20 × 162,849.20
  4. Step 4: Simplify right side
    329,082.80x = 80,386,306,070.64
  5. Step 5: Solve for x
    x = 80,386,306,070.64/329,082.80
  6. Step 6: Final answer
    x = 244,273.80

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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.