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Finding the Fourth Proportional to 378,705.06, 567,739.53 and 165,310.61

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Solution

The fourth proportional to 378,705.06, 567,739.53 and 165,310.61 is: 247,827.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,705.06 : 567,739.53 = 165,310.61 : x
  2. Step 2: Convert to fraction form
    378,705.06/567,739.53 = 165,310.61/x
  3. Step 3: Cross multiply
    378,705.06x = 567,739.53 × 165,310.61
  4. Step 4: Simplify right side
    378,705.06x = 93,853,367,935.65
  5. Step 5: Solve for x
    x = 93,853,367,935.65/378,705.06
  6. Step 6: Final answer
    x = 247,827.08

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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.