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Finding the Fourth Proportional to 400,410.42, 600,197.19 and 133,951.74

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Solution

The fourth proportional to 400,410.42, 600,197.19 and 133,951.74 is: 200,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,410.42 : 600,197.19 = 133,951.74 : x
  2. Step 2: Convert to fraction form
    400,410.42/600,197.19 = 133,951.74/x
  3. Step 3: Cross multiply
    400,410.42x = 600,197.19 × 133,951.74
  4. Step 4: Simplify right side
    400,410.42x = 80,397,457,943.61
  5. Step 5: Solve for x
    x = 80,397,457,943.61/400,410.42
  6. Step 6: Final answer
    x = 200,787.63

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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.