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Finding the Fourth Proportional to 468,025.52, 702,125.96 and 187,564.64

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Solution

The fourth proportional to 468,025.52, 702,125.96 and 187,564.64 is: 281,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,025.52 : 702,125.96 = 187,564.64 : x
  2. Step 2: Convert to fraction form
    468,025.52/702,125.96 = 187,564.64/x
  3. Step 3: Cross multiply
    468,025.52x = 702,125.96 × 187,564.64
  4. Step 4: Simplify right side
    468,025.52x = 131,693,998,473.60
  5. Step 5: Solve for x
    x = 131,693,998,473.60/468,025.52
  6. Step 6: Final answer
    x = 281,382.09

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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.