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Finding the Fourth Proportional to 577,591.62, 866,445.29 and 198,462.40

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Solution

The fourth proportional to 577,591.62, 866,445.29 and 198,462.40 is: 297,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,591.62 : 866,445.29 = 198,462.40 : x
  2. Step 2: Convert to fraction form
    577,591.62/866,445.29 = 198,462.40/x
  3. Step 3: Cross multiply
    577,591.62x = 866,445.29 × 198,462.40
  4. Step 4: Simplify right side
    577,591.62x = 171,956,811,722.10
  5. Step 5: Solve for x
    x = 171,956,811,722.10/577,591.62
  6. Step 6: Final answer
    x = 297,713.48

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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.