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Finding the Fourth Proportional to 410,198.94, 614,412.67 and 400,160.61

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Solution

The fourth proportional to 410,198.94, 614,412.67 and 400,160.61 is: 599,376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,198.94 : 614,412.67 = 400,160.61 : x
  2. Step 2: Convert to fraction form
    410,198.94/614,412.67 = 400,160.61/x
  3. Step 3: Cross multiply
    410,198.94x = 614,412.67 × 400,160.61
  4. Step 4: Simplify right side
    410,198.94x = 245,863,748,818.93
  5. Step 5: Solve for x
    x = 245,863,748,818.93/410,198.94
  6. Step 6: Final answer
    x = 599,376.85

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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.