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Finding the Fourth Proportional to 414,552.30, 621,758.88 and 115,063.31

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Solution

The fourth proportional to 414,552.30, 621,758.88 and 115,063.31 is: 172,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,552.30 : 621,758.88 = 115,063.31 : x
  2. Step 2: Convert to fraction form
    414,552.30/621,758.88 = 115,063.31/x
  3. Step 3: Cross multiply
    414,552.30x = 621,758.88 × 115,063.31
  4. Step 4: Simplify right side
    414,552.30x = 71,541,631,645.90
  5. Step 5: Solve for x
    x = 71,541,631,645.90/414,552.30
  6. Step 6: Final answer
    x = 172,575.65

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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.