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Finding the Fourth Proportional to 410,266.20, 615,572.10 and 223,411.80

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Solution

The fourth proportional to 410,266.20, 615,572.10 and 223,411.80 is: 335,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,266.20 : 615,572.10 = 223,411.80 : x
  2. Step 2: Convert to fraction form
    410,266.20/615,572.10 = 223,411.80/x
  3. Step 3: Cross multiply
    410,266.20x = 615,572.10 × 223,411.80
  4. Step 4: Simplify right side
    410,266.20x = 137,526,070,890.78
  5. Step 5: Solve for x
    x = 137,526,070,890.78/410,266.20
  6. Step 6: Final answer
    x = 335,211.80

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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.