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Finding the Fourth Proportional to 410,067.40, 615,101.10 and 378,574.60

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Solution

The fourth proportional to 410,067.40, 615,101.10 and 378,574.60 is: 567,861.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,067.40 : 615,101.10 = 378,574.60 : x
  2. Step 2: Convert to fraction form
    410,067.40/615,101.10 = 378,574.60/x
  3. Step 3: Cross multiply
    410,067.40x = 615,101.10 × 378,574.60
  4. Step 4: Simplify right side
    410,067.40x = 232,861,652,892.06
  5. Step 5: Solve for x
    x = 232,861,652,892.06/410,067.40
  6. Step 6: Final answer
    x = 567,861.90

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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.