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Finding the Fourth Proportional to 310,270.96, 428,179.72 and 172,462.80

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Solution

The fourth proportional to 310,270.96, 428,179.72 and 172,462.80 is: 238,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,270.96 : 428,179.72 = 172,462.80 : x
  2. Step 2: Convert to fraction form
    310,270.96/428,179.72 = 172,462.80/x
  3. Step 3: Cross multiply
    310,270.96x = 428,179.72 × 172,462.80
  4. Step 4: Simplify right side
    310,270.96x = 73,845,073,414.42
  5. Step 5: Solve for x
    x = 73,845,073,414.42/310,270.96
  6. Step 6: Final answer
    x = 238,001.89

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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.