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Finding the Fourth Proportional to 577,291.54, 866,079.20 and 198,217.80

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Solution

The fourth proportional to 577,291.54, 866,079.20 and 198,217.80 is: 297,375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,291.54 : 866,079.20 = 198,217.80 : x
  2. Step 2: Convert to fraction form
    577,291.54/866,079.20 = 198,217.80/x
  3. Step 3: Cross multiply
    577,291.54x = 866,079.20 × 198,217.80
  4. Step 4: Simplify right side
    577,291.54x = 171,672,313,649.76
  5. Step 5: Solve for x
    x = 171,672,313,649.76/577,291.54
  6. Step 6: Final answer
    x = 297,375.42

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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.