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Finding the Fourth Proportional to 410,691.97, 615,164.52 and 197,145.09

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Solution

The fourth proportional to 410,691.97, 615,164.52 and 197,145.09 is: 295,298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,691.97 : 615,164.52 = 197,145.09 : x
  2. Step 2: Convert to fraction form
    410,691.97/615,164.52 = 197,145.09/x
  3. Step 3: Cross multiply
    410,691.97x = 615,164.52 × 197,145.09
  4. Step 4: Simplify right side
    410,691.97x = 121,276,665,399.50
  5. Step 5: Solve for x
    x = 121,276,665,399.50/410,691.97
  6. Step 6: Final answer
    x = 295,298.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.