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Finding the Fourth Proportional to 345,718, 518,577 and 83,062

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Solution

The fourth proportional to 345,718, 518,577 and 83,062 is: 124,593

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,718 : 518,577 = 83,062 : x
  2. Step 2: Convert to fraction form
    345,718/518,577 = 83,062/x
  3. Step 3: Cross multiply
    345,718x = 518,577 × 83,062
  4. Step 4: Simplify right side
    345,718x = 43,074,042,774
  5. Step 5: Solve for x
    x = 43,074,042,774/345,718
  6. Step 6: Final answer
    x = 124,593

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.