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Finding the Fourth Proportional to 381,970.40, 573,079.80 and 182,264.90

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Solution

The fourth proportional to 381,970.40, 573,079.80 and 182,264.90 is: 273,456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,970.40 : 573,079.80 = 182,264.90 : x
  2. Step 2: Convert to fraction form
    381,970.40/573,079.80 = 182,264.90/x
  3. Step 3: Cross multiply
    381,970.40x = 573,079.80 × 182,264.90
  4. Step 4: Simplify right side
    381,970.40x = 104,452,332,439.02
  5. Step 5: Solve for x
    x = 104,452,332,439.02/381,970.40
  6. Step 6: Final answer
    x = 273,456.61

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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.