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Finding the Fourth Proportional to 386,352, 533,167.68 and 225,318.72

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Solution

The fourth proportional to 386,352, 533,167.68 and 225,318.72 is: 310,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,352 : 533,167.68 = 225,318.72 : x
  2. Step 2: Convert to fraction form
    386,352/533,167.68 = 225,318.72/x
  3. Step 3: Cross multiply
    386,352x = 533,167.68 × 225,318.72
  4. Step 4: Simplify right side
    386,352x = 120,132,659,202.97
  5. Step 5: Solve for x
    x = 120,132,659,202.97/386,352
  6. Step 6: Final answer
    x = 310,940.95

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