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Finding the Fourth Proportional to 295,690.55, 408,053.10 and 159,724.49

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Solution

The fourth proportional to 295,690.55, 408,053.10 and 159,724.49 is: 220,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,690.55 : 408,053.10 = 159,724.49 : x
  2. Step 2: Convert to fraction form
    295,690.55/408,053.10 = 159,724.49/x
  3. Step 3: Cross multiply
    295,690.55x = 408,053.10 × 159,724.49
  4. Step 4: Simplify right side
    295,690.55x = 65,176,073,290.42
  5. Step 5: Solve for x
    x = 65,176,073,290.42/295,690.55
  6. Step 6: Final answer
    x = 220,419.87

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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.