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Finding the Fourth Proportional to 499,842.64, 749,763.36 and 162,882.76

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Solution

The fourth proportional to 499,842.64, 749,763.36 and 162,882.76 is: 244,323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,842.64 : 749,763.36 = 162,882.76 : x
  2. Step 2: Convert to fraction form
    499,842.64/749,763.36 = 162,882.76/x
  3. Step 3: Cross multiply
    499,842.64x = 749,763.36 × 162,882.76
  4. Step 4: Simplify right side
    499,842.64x = 122,123,525,423.67
  5. Step 5: Solve for x
    x = 122,123,525,423.67/499,842.64
  6. Step 6: Final answer
    x = 244,323.94

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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.