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Finding the Fourth Proportional to 442,007.52, 663,110.32 and 161,517.60

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Solution

The fourth proportional to 442,007.52, 663,110.32 and 161,517.60 is: 242,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,007.52 : 663,110.32 = 161,517.60 : x
  2. Step 2: Convert to fraction form
    442,007.52/663,110.32 = 161,517.60/x
  3. Step 3: Cross multiply
    442,007.52x = 663,110.32 × 161,517.60
  4. Step 4: Simplify right side
    442,007.52x = 107,103,987,421.63
  5. Step 5: Solve for x
    x = 107,103,987,421.63/442,007.52
  6. Step 6: Final answer
    x = 242,312.59

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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.