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Finding the Fourth Proportional to 297,691.30, 410,812.36 and 161,724.16

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Solution

The fourth proportional to 297,691.30, 410,812.36 and 161,724.16 is: 223,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,691.30 : 410,812.36 = 161,724.16 : x
  2. Step 2: Convert to fraction form
    297,691.30/410,812.36 = 161,724.16/x
  3. Step 3: Cross multiply
    297,691.30x = 410,812.36 × 161,724.16
  4. Step 4: Simplify right side
    297,691.30x = 66,438,283,838.62
  5. Step 5: Solve for x
    x = 66,438,283,838.62/297,691.30
  6. Step 6: Final answer
    x = 223,178.45

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Why These Related Problems?

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