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Finding the Fourth Proportional to 312,460.28, 431,192.76 and 169,217

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Solution

The fourth proportional to 312,460.28, 431,192.76 and 169,217 is: 233,518.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,460.28 : 431,192.76 = 169,217 : x
  2. Step 2: Convert to fraction form
    312,460.28/431,192.76 = 169,217/x
  3. Step 3: Cross multiply
    312,460.28x = 431,192.76 × 169,217
  4. Step 4: Simplify right side
    312,460.28x = 72,965,145,268.92
  5. Step 5: Solve for x
    x = 72,965,145,268.92/312,460.28
  6. Step 6: Final answer
    x = 233,518.15

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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.