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Finding the Fourth Proportional to 322,824.38, 484,225.64 and 86,154.53

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Solution

The fourth proportional to 322,824.38, 484,225.64 and 86,154.53 is: 129,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,824.38 : 484,225.64 = 86,154.53 : x
  2. Step 2: Convert to fraction form
    322,824.38/484,225.64 = 86,154.53/x
  3. Step 3: Cross multiply
    322,824.38x = 484,225.64 × 86,154.53
  4. Step 4: Simplify right side
    322,824.38x = 41,718,231,997.38
  5. Step 5: Solve for x
    x = 41,718,231,997.38/322,824.38
  6. Step 6: Final answer
    x = 129,228.88

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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.