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Finding the Fourth Proportional to 256,785.41, 354,412.51 and 172,049.69

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Solution

The fourth proportional to 256,785.41, 354,412.51 and 172,049.69 is: 237,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,785.41 : 354,412.51 = 172,049.69 : x
  2. Step 2: Convert to fraction form
    256,785.41/354,412.51 = 172,049.69/x
  3. Step 3: Cross multiply
    256,785.41x = 354,412.51 × 172,049.69
  4. Step 4: Simplify right side
    256,785.41x = 60,976,560,275.44
  5. Step 5: Solve for x
    x = 60,976,560,275.44/256,785.41
  6. Step 6: Final answer
    x = 237,461.16

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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.