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Finding the Fourth Proportional to 296,049.49, 408,550.61 and 163,446.46

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Solution

The fourth proportional to 296,049.49, 408,550.61 and 163,446.46 is: 225,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,049.49 : 408,550.61 = 163,446.46 : x
  2. Step 2: Convert to fraction form
    296,049.49/408,550.61 = 163,446.46/x
  3. Step 3: Cross multiply
    296,049.49x = 408,550.61 × 163,446.46
  4. Step 4: Simplify right side
    296,049.49x = 66,776,150,322.58
  5. Step 5: Solve for x
    x = 66,776,150,322.58/296,049.49
  6. Step 6: Final answer
    x = 225,557.39

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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.