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Finding the Fourth Proportional to 499,842.53, 749,686.76 and 162,882.32

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Solution

The fourth proportional to 499,842.53, 749,686.76 and 162,882.32 is: 244,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,842.53 : 749,686.76 = 162,882.32 : x
  2. Step 2: Convert to fraction form
    499,842.53/749,686.76 = 162,882.32/x
  3. Step 3: Cross multiply
    499,842.53x = 749,686.76 × 162,882.32
  4. Step 4: Simplify right side
    499,842.53x = 122,110,717,927.67
  5. Step 5: Solve for x
    x = 122,110,717,927.67/499,842.53
  6. Step 6: Final answer
    x = 244,298.38

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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.