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Finding the Fourth Proportional to 312,466.97, 431,204.76 and 169,227.18

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Solution

The fourth proportional to 312,466.97, 431,204.76 and 169,227.18 is: 233,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,466.97 : 431,204.76 = 169,227.18 : x
  2. Step 2: Convert to fraction form
    312,466.97/431,204.76 = 169,227.18/x
  3. Step 3: Cross multiply
    312,466.97x = 431,204.76 × 169,227.18
  4. Step 4: Simplify right side
    312,466.97x = 72,971,565,537.38
  5. Step 5: Solve for x
    x = 72,971,565,537.38/312,466.97
  6. Step 6: Final answer
    x = 233,533.70

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Why These Related Problems?

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