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Finding the Fourth Proportional to 313,305.80, 469,976.96 and 88,647.44

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Solution

The fourth proportional to 313,305.80, 469,976.96 and 88,647.44 is: 132,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,305.80 : 469,976.96 = 88,647.44 : x
  2. Step 2: Convert to fraction form
    313,305.80/469,976.96 = 88,647.44/x
  3. Step 3: Cross multiply
    313,305.80x = 469,976.96 × 88,647.44
  4. Step 4: Simplify right side
    313,305.80x = 41,662,254,362.98
  5. Step 5: Solve for x
    x = 41,662,254,362.98/313,305.80
  6. Step 6: Final answer
    x = 132,976.33

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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.