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Finding the Fourth Proportional to 577,872.72, 866,593.53 and 198,686.16

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Solution

The fourth proportional to 577,872.72, 866,593.53 and 198,686.16 is: 297,955.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,872.72 : 866,593.53 = 198,686.16 : x
  2. Step 2: Convert to fraction form
    577,872.72/866,593.53 = 198,686.16/x
  3. Step 3: Cross multiply
    577,872.72x = 866,593.53 × 198,686.16
  4. Step 4: Simplify right side
    577,872.72x = 172,180,140,756.55
  5. Step 5: Solve for x
    x = 172,180,140,756.55/577,872.72
  6. Step 6: Final answer
    x = 297,955.13

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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.