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Finding the Fourth Proportional to 442,517.68, 663,569.16 and 161,838.64

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Solution

The fourth proportional to 442,517.68, 663,569.16 and 161,838.64 is: 242,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,517.68 : 663,569.16 = 161,838.64 : x
  2. Step 2: Convert to fraction form
    442,517.68/663,569.16 = 161,838.64/x
  3. Step 3: Cross multiply
    442,517.68x = 663,569.16 × 161,838.64
  4. Step 4: Simplify right side
    442,517.68x = 107,391,130,400.34
  5. Step 5: Solve for x
    x = 107,391,130,400.34/442,517.68
  6. Step 6: Final answer
    x = 242,682.12

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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.