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Finding the Fourth Proportional to 410,134.89, 615,596.40 and 199,920.45

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Solution

The fourth proportional to 410,134.89, 615,596.40 and 199,920.45 is: 300,072.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,134.89 : 615,596.40 = 199,920.45 : x
  2. Step 2: Convert to fraction form
    410,134.89/615,596.40 = 199,920.45/x
  3. Step 3: Cross multiply
    410,134.89x = 615,596.40 × 199,920.45
  4. Step 4: Simplify right side
    410,134.89x = 123,070,309,306.38
  5. Step 5: Solve for x
    x = 123,070,309,306.38/410,134.89
  6. Step 6: Final answer
    x = 300,072.76

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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.