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Finding the Fourth Proportional to 577,829.89, 866,737.14 and 198,757.18

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Solution

The fourth proportional to 577,829.89, 866,737.14 and 198,757.18 is: 298,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,829.89 : 866,737.14 = 198,757.18 : x
  2. Step 2: Convert to fraction form
    577,829.89/866,737.14 = 198,757.18/x
  3. Step 3: Cross multiply
    577,829.89x = 866,737.14 × 198,757.18
  4. Step 4: Simplify right side
    577,829.89x = 172,270,229,747.67
  5. Step 5: Solve for x
    x = 172,270,229,747.67/577,829.89
  6. Step 6: Final answer
    x = 298,133.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.