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Finding the Fourth Proportional to 312,402.34, 431,115.51 and 169,162.62

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Solution

The fourth proportional to 312,402.34, 431,115.51 and 169,162.62 is: 233,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,402.34 : 431,115.51 = 169,162.62 : x
  2. Step 2: Convert to fraction form
    312,402.34/431,115.51 = 169,162.62/x
  3. Step 3: Cross multiply
    312,402.34x = 431,115.51 × 169,162.62
  4. Step 4: Simplify right side
    312,402.34x = 72,928,629,194.24
  5. Step 5: Solve for x
    x = 72,928,629,194.24/312,402.34
  6. Step 6: Final answer
    x = 233,444.57

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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.