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Finding the Fourth Proportional to 410,834.01, 615,842.77 and 285,912.57

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Solution

The fourth proportional to 410,834.01, 615,842.77 and 285,912.57 is: 428,584.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,834.01 : 615,842.77 = 285,912.57 : x
  2. Step 2: Convert to fraction form
    410,834.01/615,842.77 = 285,912.57/x
  3. Step 3: Cross multiply
    410,834.01x = 615,842.77 × 285,912.57
  4. Step 4: Simplify right side
    410,834.01x = 176,077,189,086.62
  5. Step 5: Solve for x
    x = 176,077,189,086.62/410,834.01
  6. Step 6: Final answer
    x = 428,584.74

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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.