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Finding the Fourth Proportional to 296,341.74, 408,954.15 and 169,023.78

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Solution

The fourth proportional to 296,341.74, 408,954.15 and 169,023.78 is: 233,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,341.74 : 408,954.15 = 169,023.78 : x
  2. Step 2: Convert to fraction form
    296,341.74/408,954.15 = 169,023.78/x
  3. Step 3: Cross multiply
    296,341.74x = 408,954.15 × 169,023.78
  4. Step 4: Simplify right side
    296,341.74x = 69,122,976,279.69
  5. Step 5: Solve for x
    x = 69,122,976,279.69/296,341.74
  6. Step 6: Final answer
    x = 233,254.27

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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.