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Finding the Fourth Proportional to 281,170.92, 387,612.26 and 200,458.32

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Solution

The fourth proportional to 281,170.92, 387,612.26 and 200,458.32 is: 276,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,170.92 : 387,612.26 = 200,458.32 : x
  2. Step 2: Convert to fraction form
    281,170.92/387,612.26 = 200,458.32/x
  3. Step 3: Cross multiply
    281,170.92x = 387,612.26 × 200,458.32
  4. Step 4: Simplify right side
    281,170.92x = 77,700,102,400.83
  5. Step 5: Solve for x
    x = 77,700,102,400.83/281,170.92
  6. Step 6: Final answer
    x = 276,344.73

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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.