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Finding the Fourth Proportional to 391,288.14, 586,862.82 and 178,006.50

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Solution

The fourth proportional to 391,288.14, 586,862.82 and 178,006.50 is: 266,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,288.14 : 586,862.82 = 178,006.50 : x
  2. Step 2: Convert to fraction form
    391,288.14/586,862.82 = 178,006.50/x
  3. Step 3: Cross multiply
    391,288.14x = 586,862.82 × 178,006.50
  4. Step 4: Simplify right side
    391,288.14x = 104,465,396,568.33
  5. Step 5: Solve for x
    x = 104,465,396,568.33/391,288.14
  6. Step 6: Final answer
    x = 266,978.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.