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Finding the Fourth Proportional to 410,147.40, 615,221.10 and 210,857.03

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Solution

The fourth proportional to 410,147.40, 615,221.10 and 210,857.03 is: 316,285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,147.40 : 615,221.10 = 210,857.03 : x
  2. Step 2: Convert to fraction form
    410,147.40/615,221.10 = 210,857.03/x
  3. Step 3: Cross multiply
    410,147.40x = 615,221.10 × 210,857.03
  4. Step 4: Simplify right side
    410,147.40x = 129,723,690,863.23
  5. Step 5: Solve for x
    x = 129,723,690,863.23/410,147.40
  6. Step 6: Final answer
    x = 316,285.54

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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.