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Finding the Fourth Proportional to 312,776.20, 431,633.40 and 169,537.24

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Solution

The fourth proportional to 312,776.20, 431,633.40 and 169,537.24 is: 233,962.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,776.20 : 431,633.40 = 169,537.24 : x
  2. Step 2: Convert to fraction form
    312,776.20/431,633.40 = 169,537.24/x
  3. Step 3: Cross multiply
    312,776.20x = 431,633.40 × 169,537.24
  4. Step 4: Simplify right side
    312,776.20x = 73,177,935,327.82
  5. Step 5: Solve for x
    x = 73,177,935,327.82/312,776.20
  6. Step 6: Final answer
    x = 233,962.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.