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Finding the Fourth Proportional to 410,026.08, 615,043.12 and 143,793.12

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Solution

The fourth proportional to 410,026.08, 615,043.12 and 143,793.12 is: 215,691.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,026.08 : 615,043.12 = 143,793.12 : x
  2. Step 2: Convert to fraction form
    410,026.08/615,043.12 = 143,793.12/x
  3. Step 3: Cross multiply
    410,026.08x = 615,043.12 × 143,793.12
  4. Step 4: Simplify right side
    410,026.08x = 88,438,969,159.33
  5. Step 5: Solve for x
    x = 88,438,969,159.33/410,026.08
  6. Step 6: Final answer
    x = 215,691.08

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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.