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Finding the Fourth Proportional to 296,344.98, 408,951.87 and 169,022.70

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Solution

The fourth proportional to 296,344.98, 408,951.87 and 169,022.70 is: 233,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,344.98 : 408,951.87 = 169,022.70 : x
  2. Step 2: Convert to fraction form
    296,344.98/408,951.87 = 169,022.70/x
  3. Step 3: Cross multiply
    296,344.98x = 408,951.87 × 169,022.70
  4. Step 4: Simplify right side
    296,344.98x = 69,122,149,237.45
  5. Step 5: Solve for x
    x = 69,122,149,237.45/296,344.98
  6. Step 6: Final answer
    x = 233,248.93

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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.