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Finding the Fourth Proportional to 296,344.48, 408,951.16 and 169,022.20

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Solution

The fourth proportional to 296,344.48, 408,951.16 and 169,022.20 is: 233,248.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,344.48 : 408,951.16 = 169,022.20 : x
  2. Step 2: Convert to fraction form
    296,344.48/408,951.16 = 169,022.20/x
  3. Step 3: Cross multiply
    296,344.48x = 408,951.16 × 169,022.20
  4. Step 4: Simplify right side
    296,344.48x = 69,121,824,755.75
  5. Step 5: Solve for x
    x = 69,121,824,755.75/296,344.48
  6. Step 6: Final answer
    x = 233,248.23

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1.5x scale

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.