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Finding the Fourth Proportional to 410,215.78, 615,294.50 and 110,713.42

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Solution

The fourth proportional to 410,215.78, 615,294.50 and 110,713.42 is: 166,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,215.78 : 615,294.50 = 110,713.42 : x
  2. Step 2: Convert to fraction form
    410,215.78/615,294.50 = 110,713.42/x
  3. Step 3: Cross multiply
    410,215.78x = 615,294.50 × 110,713.42
  4. Step 4: Simplify right side
    410,215.78x = 68,121,355,325.72
  5. Step 5: Solve for x
    x = 68,121,355,325.72/410,215.78
  6. Step 6: Final answer
    x = 166,062.25

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