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Finding the Fourth Proportional to 698,948.56, 964,543.98 and 397,142.56

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Solution

The fourth proportional to 698,948.56, 964,543.98 and 397,142.56 is: 548,053.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,948.56 : 964,543.98 = 397,142.56 : x
  2. Step 2: Convert to fraction form
    698,948.56/964,543.98 = 397,142.56/x
  3. Step 3: Cross multiply
    698,948.56x = 964,543.98 × 397,142.56
  4. Step 4: Simplify right side
    698,948.56x = 383,061,465,449.79
  5. Step 5: Solve for x
    x = 383,061,465,449.79/698,948.56
  6. Step 6: Final answer
    x = 548,053.87

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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.