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Finding the Fourth Proportional to 465,521.38, 698,288.55 and 133,097.38

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Solution

The fourth proportional to 465,521.38, 698,288.55 and 133,097.38 is: 199,647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,521.38 : 698,288.55 = 133,097.38 : x
  2. Step 2: Convert to fraction form
    465,521.38/698,288.55 = 133,097.38/x
  3. Step 3: Cross multiply
    465,521.38x = 698,288.55 × 133,097.38
  4. Step 4: Simplify right side
    465,521.38x = 92,940,376,489.00
  5. Step 5: Solve for x
    x = 92,940,376,489.00/465,521.38
  6. Step 6: Final answer
    x = 199,647.92

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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.