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Finding the Fourth Proportional to 301,589.76, 416,227.14 and 172,540.20

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Solution

The fourth proportional to 301,589.76, 416,227.14 and 172,540.20 is: 238,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,589.76 : 416,227.14 = 172,540.20 : x
  2. Step 2: Convert to fraction form
    301,589.76/416,227.14 = 172,540.20/x
  3. Step 3: Cross multiply
    301,589.76x = 416,227.14 × 172,540.20
  4. Step 4: Simplify right side
    301,589.76x = 71,815,913,981.03
  5. Step 5: Solve for x
    x = 71,815,913,981.03/301,589.76
  6. Step 6: Final answer
    x = 238,124.51

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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.