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Finding the Fourth Proportional to 394,175.76, 591,275.88 and 154,280.40

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Solution

The fourth proportional to 394,175.76, 591,275.88 and 154,280.40 is: 231,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,175.76 : 591,275.88 = 154,280.40 : x
  2. Step 2: Convert to fraction form
    394,175.76/591,275.88 = 154,280.40/x
  3. Step 3: Cross multiply
    394,175.76x = 591,275.88 × 154,280.40
  4. Step 4: Simplify right side
    394,175.76x = 91,222,279,276.75
  5. Step 5: Solve for x
    x = 91,222,279,276.75/394,175.76
  6. Step 6: Final answer
    x = 231,425.39

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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.