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Finding the Fourth Proportional to 392,063.62, 540,848.30 and 256,177

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Solution

The fourth proportional to 392,063.62, 540,848.30 and 256,177 is: 353,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,063.62 : 540,848.30 = 256,177 : x
  2. Step 2: Convert to fraction form
    392,063.62/540,848.30 = 256,177/x
  3. Step 3: Cross multiply
    392,063.62x = 540,848.30 × 256,177
  4. Step 4: Simplify right side
    392,063.62x = 138,552,895,589.54
  5. Step 5: Solve for x
    x = 138,552,895,589.54/392,063.62
  6. Step 6: Final answer
    x = 353,393.91

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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.