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Finding the Fourth Proportional to 313,713, 432,982.26 and 179,577

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Solution

The fourth proportional to 313,713, 432,982.26 and 179,577 is: 247,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,713 : 432,982.26 = 179,577 : x
  2. Step 2: Convert to fraction form
    313,713/432,982.26 = 179,577/x
  3. Step 3: Cross multiply
    313,713x = 432,982.26 × 179,577
  4. Step 4: Simplify right side
    313,713x = 77,753,655,304.02
  5. Step 5: Solve for x
    x = 77,753,655,304.02/313,713
  6. Step 6: Final answer
    x = 247,849.64

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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.