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Finding the Fourth Proportional to 652,346.64, 978,285.60 and 225,766.71

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Solution

The fourth proportional to 652,346.64, 978,285.60 and 225,766.71 is: 338,568.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,346.64 : 978,285.60 = 225,766.71 : x
  2. Step 2: Convert to fraction form
    652,346.64/978,285.60 = 225,766.71/x
  3. Step 3: Cross multiply
    652,346.64x = 978,285.60 × 225,766.71
  4. Step 4: Simplify right side
    652,346.64x = 220,864,321,352.38
  5. Step 5: Solve for x
    x = 220,864,321,352.38/652,346.64
  6. Step 6: Final answer
    x = 338,568.96

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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.