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Finding the Fourth Proportional to 482,134.66, 723,337.42 and 178,524.24

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Solution

The fourth proportional to 482,134.66, 723,337.42 and 178,524.24 is: 267,836.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,134.66 : 723,337.42 = 178,524.24 : x
  2. Step 2: Convert to fraction form
    482,134.66/723,337.42 = 178,524.24/x
  3. Step 3: Cross multiply
    482,134.66x = 723,337.42 × 178,524.24
  4. Step 4: Simplify right side
    482,134.66x = 129,133,263,169.06
  5. Step 5: Solve for x
    x = 129,133,263,169.06/482,134.66
  6. Step 6: Final answer
    x = 267,836.51

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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.