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Finding the Fourth Proportional to 714,940.88, 986,705.96 and 413,134.88

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Solution

The fourth proportional to 714,940.88, 986,705.96 and 413,134.88 is: 570,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,940.88 : 986,705.96 = 413,134.88 : x
  2. Step 2: Convert to fraction form
    714,940.88/986,705.96 = 413,134.88/x
  3. Step 3: Cross multiply
    714,940.88x = 986,705.96 × 413,134.88
  4. Step 4: Simplify right side
    714,940.88x = 407,642,641,380.68
  5. Step 5: Solve for x
    x = 407,642,641,380.68/714,940.88
  6. Step 6: Final answer
    x = 570,176.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.