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Finding the Fourth Proportional to 387,264.88, 580,482.01 and 187,310.20

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Solution

The fourth proportional to 387,264.88, 580,482.01 and 187,310.20 is: 280,764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,264.88 : 580,482.01 = 187,310.20 : x
  2. Step 2: Convert to fraction form
    387,264.88/580,482.01 = 187,310.20/x
  3. Step 3: Cross multiply
    387,264.88x = 580,482.01 × 187,310.20
  4. Step 4: Simplify right side
    387,264.88x = 108,730,199,470.02
  5. Step 5: Solve for x
    x = 108,730,199,470.02/387,264.88
  6. Step 6: Final answer
    x = 280,764.42

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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.