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Finding the Fourth Proportional to 229,296, 316,428.48 and 128,694

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Solution

The fourth proportional to 229,296, 316,428.48 and 128,694 is: 177,597.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,296 : 316,428.48 = 128,694 : x
  2. Step 2: Convert to fraction form
    229,296/316,428.48 = 128,694/x
  3. Step 3: Cross multiply
    229,296x = 316,428.48 × 128,694
  4. Step 4: Simplify right side
    229,296x = 40,722,446,805.12
  5. Step 5: Solve for x
    x = 40,722,446,805.12/229,296
  6. Step 6: Final answer
    x = 177,597.72

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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.