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Finding the Fourth Proportional to 410,589.20, 615,648.63 and 126,205.76

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Solution

The fourth proportional to 410,589.20, 615,648.63 and 126,205.76 is: 189,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,589.20 : 615,648.63 = 126,205.76 : x
  2. Step 2: Convert to fraction form
    410,589.20/615,648.63 = 126,205.76/x
  3. Step 3: Cross multiply
    410,589.20x = 615,648.63 × 126,205.76
  4. Step 4: Simplify right side
    410,589.20x = 77,698,403,242.11
  5. Step 5: Solve for x
    x = 77,698,403,242.11/410,589.20
  6. Step 6: Final answer
    x = 189,236.35

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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.