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Finding the Fourth Proportional to 280,375.43, 386,913.11 and 159,514.12

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Solution

The fourth proportional to 280,375.43, 386,913.11 and 159,514.12 is: 220,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,375.43 : 386,913.11 = 159,514.12 : x
  2. Step 2: Convert to fraction form
    280,375.43/386,913.11 = 159,514.12/x
  3. Step 3: Cross multiply
    280,375.43x = 386,913.11 × 159,514.12
  4. Step 4: Simplify right side
    280,375.43x = 61,718,102,493.26
  5. Step 5: Solve for x
    x = 61,718,102,493.26/280,375.43
  6. Step 6: Final answer
    x = 220,126.64

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1.5x scale

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.