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Finding the Fourth Proportional to 305,254.50, 421,251.21 and 169,309.26

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Solution

The fourth proportional to 305,254.50, 421,251.21 and 169,309.26 is: 233,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,254.50 : 421,251.21 = 169,309.26 : x
  2. Step 2: Convert to fraction form
    305,254.50/421,251.21 = 169,309.26/x
  3. Step 3: Cross multiply
    305,254.50x = 421,251.21 × 169,309.26
  4. Step 4: Simplify right side
    305,254.50x = 71,321,730,639.20
  5. Step 5: Solve for x
    x = 71,321,730,639.20/305,254.50
  6. Step 6: Final answer
    x = 233,646.78

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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.