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Finding the Fourth Proportional to 410,151.70, 615,228.99 and 199,609.30

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Solution

The fourth proportional to 410,151.70, 615,228.99 and 199,609.30 is: 299,414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,151.70 : 615,228.99 = 199,609.30 : x
  2. Step 2: Convert to fraction form
    410,151.70/615,228.99 = 199,609.30/x
  3. Step 3: Cross multiply
    410,151.70x = 615,228.99 × 199,609.30
  4. Step 4: Simplify right side
    410,151.70x = 122,805,428,033.61
  5. Step 5: Solve for x
    x = 122,805,428,033.61/410,151.70
  6. Step 6: Final answer
    x = 299,414.65

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Similar ratio
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1.5x scale

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.