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Finding the Fourth Proportional to 410,151.40, 615,227.10 and 110,631.40

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Solution

The fourth proportional to 410,151.40, 615,227.10 and 110,631.40 is: 165,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,151.40 : 615,227.10 = 110,631.40 : x
  2. Step 2: Convert to fraction form
    410,151.40/615,227.10 = 110,631.40/x
  3. Step 3: Cross multiply
    410,151.40x = 615,227.10 × 110,631.40
  4. Step 4: Simplify right side
    410,151.40x = 68,063,435,390.94
  5. Step 5: Solve for x
    x = 68,063,435,390.94/410,151.40
  6. Step 6: Final answer
    x = 165,947.10

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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.