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Finding the Fourth Proportional to 410,694.48, 615,168.27 and 197,147.59

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Solution

The fourth proportional to 410,694.48, 615,168.27 and 197,147.59 is: 295,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,694.48 : 615,168.27 = 197,147.59 : x
  2. Step 2: Convert to fraction form
    410,694.48/615,168.27 = 197,147.59/x
  3. Step 3: Cross multiply
    410,694.48x = 615,168.27 × 197,147.59
  4. Step 4: Simplify right side
    410,694.48x = 121,278,941,874.97
  5. Step 5: Solve for x
    x = 121,278,941,874.97/410,694.48
  6. Step 6: Final answer
    x = 295,302.10

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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.