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Finding the Fourth Proportional to 312,418.82, 468,531.37 and 112,713.26

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Solution

The fourth proportional to 312,418.82, 468,531.37 and 112,713.26 is: 169,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,418.82 : 468,531.37 = 112,713.26 : x
  2. Step 2: Convert to fraction form
    312,418.82/468,531.37 = 112,713.26/x
  3. Step 3: Cross multiply
    312,418.82x = 468,531.37 × 112,713.26
  4. Step 4: Simplify right side
    312,418.82x = 52,809,695,923.20
  5. Step 5: Solve for x
    x = 52,809,695,923.20/312,418.82
  6. Step 6: Final answer
    x = 169,034.94

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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.