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Finding the Fourth Proportional to 466,177.28, 699,266.56 and 199,764.96

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Solution

The fourth proportional to 466,177.28, 699,266.56 and 199,764.96 is: 299,647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,177.28 : 699,266.56 = 199,764.96 : x
  2. Step 2: Convert to fraction form
    466,177.28/699,266.56 = 199,764.96/x
  3. Step 3: Cross multiply
    466,177.28x = 699,266.56 × 199,764.96
  4. Step 4: Simplify right side
    466,177.28x = 139,688,956,387.74
  5. Step 5: Solve for x
    x = 139,688,956,387.74/466,177.28
  6. Step 6: Final answer
    x = 299,647.71

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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.