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Finding the Fourth Proportional to 345,716.52, 518,574.80 and 83,060.52

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Solution

The fourth proportional to 345,716.52, 518,574.80 and 83,060.52 is: 124,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,716.52 : 518,574.80 = 83,060.52 : x
  2. Step 2: Convert to fraction form
    345,716.52/518,574.80 = 83,060.52/x
  3. Step 3: Cross multiply
    345,716.52x = 518,574.80 × 83,060.52
  4. Step 4: Simplify right side
    345,716.52x = 43,073,092,546.90
  5. Step 5: Solve for x
    x = 43,073,092,546.90/345,716.52
  6. Step 6: Final answer
    x = 124,590.78

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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.