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Finding the Fourth Proportional to 280,283.88, 386,618.72 and 199,737.20

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Solution

The fourth proportional to 280,283.88, 386,618.72 and 199,737.20 is: 275,514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,283.88 : 386,618.72 = 199,737.20 : x
  2. Step 2: Convert to fraction form
    280,283.88/386,618.72 = 199,737.20/x
  3. Step 3: Cross multiply
    280,283.88x = 386,618.72 × 199,737.20
  4. Step 4: Simplify right side
    280,283.88x = 77,222,140,600.38
  5. Step 5: Solve for x
    x = 77,222,140,600.38/280,283.88
  6. Step 6: Final answer
    x = 275,514.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.