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Finding the Fourth Proportional to 356,447.80, 534,339.46 and 178,747.16

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Solution

The fourth proportional to 356,447.80, 534,339.46 and 178,747.16 is: 267,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,447.80 : 534,339.46 = 178,747.16 : x
  2. Step 2: Convert to fraction form
    356,447.80/534,339.46 = 178,747.16/x
  3. Step 3: Cross multiply
    356,447.80x = 534,339.46 × 178,747.16
  4. Step 4: Simplify right side
    356,447.80x = 95,511,660,950.93
  5. Step 5: Solve for x
    x = 95,511,660,950.93/356,447.80
  6. Step 6: Final answer
    x = 267,954.13

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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.