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Finding the Fourth Proportional to 412,034.85, 618,046.50 and 249,967.52

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Solution

The fourth proportional to 412,034.85, 618,046.50 and 249,967.52 is: 374,947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,034.85 : 618,046.50 = 249,967.52 : x
  2. Step 2: Convert to fraction form
    412,034.85/618,046.50 = 249,967.52/x
  3. Step 3: Cross multiply
    412,034.85x = 618,046.50 × 249,967.52
  4. Step 4: Simplify right side
    412,034.85x = 154,491,551,014.50
  5. Step 5: Solve for x
    x = 154,491,551,014.50/412,034.85
  6. Step 6: Final answer
    x = 374,947.78

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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.