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Finding the Fourth Proportional to 410,552.52, 615,960.51 and 197,335.91

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Solution

The fourth proportional to 410,552.52, 615,960.51 and 197,335.91 is: 296,067.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,552.52 : 615,960.51 = 197,335.91 : x
  2. Step 2: Convert to fraction form
    410,552.52/615,960.51 = 197,335.91/x
  3. Step 3: Cross multiply
    410,552.52x = 615,960.51 × 197,335.91
  4. Step 4: Simplify right side
    410,552.52x = 121,551,123,945.10
  5. Step 5: Solve for x
    x = 121,551,123,945.10/410,552.52
  6. Step 6: Final answer
    x = 296,067.17

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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.