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Finding the Fourth Proportional to 386,249.44, 532,357.20 and 256,956.64

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Solution

The fourth proportional to 386,249.44, 532,357.20 and 256,956.64 is: 354,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,249.44 : 532,357.20 = 256,956.64 : x
  2. Step 2: Convert to fraction form
    386,249.44/532,357.20 = 256,956.64/x
  3. Step 3: Cross multiply
    386,249.44x = 532,357.20 × 256,956.64
  4. Step 4: Simplify right side
    386,249.44x = 136,792,717,391.81
  5. Step 5: Solve for x
    x = 136,792,717,391.81/386,249.44
  6. Step 6: Final answer
    x = 354,156.42

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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.