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Finding the Fourth Proportional to 410,197.94, 614,411.17 and 400,159.61

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Solution

The fourth proportional to 410,197.94, 614,411.17 and 400,159.61 is: 599,375.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,197.94 : 614,411.17 = 400,159.61 : x
  2. Step 2: Convert to fraction form
    410,197.94/614,411.17 = 400,159.61/x
  3. Step 3: Cross multiply
    410,197.94x = 614,411.17 × 400,159.61
  4. Step 4: Simplify right side
    410,197.94x = 245,862,530,094.39
  5. Step 5: Solve for x
    x = 245,862,530,094.39/410,197.94
  6. Step 6: Final answer
    x = 599,375.35

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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.