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Finding the Fourth Proportional to 499,842.75, 749,687.13 and 162,882.57

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Solution

The fourth proportional to 499,842.75, 749,687.13 and 162,882.57 is: 244,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,842.75 : 749,687.13 = 162,882.57 : x
  2. Step 2: Convert to fraction form
    499,842.75/749,687.13 = 162,882.57/x
  3. Step 3: Cross multiply
    499,842.75x = 749,687.13 × 162,882.57
  4. Step 4: Simplify right side
    499,842.75x = 122,110,966,430.32
  5. Step 5: Solve for x
    x = 122,110,966,430.32/499,842.75
  6. Step 6: Final answer
    x = 244,298.76

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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.