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Finding the Fourth Proportional to 338,972.52, 467,780.78 and 186,013.24

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Solution

The fourth proportional to 338,972.52, 467,780.78 and 186,013.24 is: 256,697.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,972.52 : 467,780.78 = 186,013.24 : x
  2. Step 2: Convert to fraction form
    338,972.52/467,780.78 = 186,013.24/x
  3. Step 3: Cross multiply
    338,972.52x = 467,780.78 × 186,013.24
  4. Step 4: Simplify right side
    338,972.52x = 87,013,418,497.53
  5. Step 5: Solve for x
    x = 87,013,418,497.53/338,972.52
  6. Step 6: Final answer
    x = 256,697.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.