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Finding the Fourth Proportional to 310,307.26, 428,224.42 and 176,171.26

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Solution

The fourth proportional to 310,307.26, 428,224.42 and 176,171.26 is: 243,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,307.26 : 428,224.42 = 176,171.26 : x
  2. Step 2: Convert to fraction form
    310,307.26/428,224.42 = 176,171.26/x
  3. Step 3: Cross multiply
    310,307.26x = 428,224.42 × 176,171.26
  4. Step 4: Simplify right side
    310,307.26x = 75,440,835,634.17
  5. Step 5: Solve for x
    x = 75,440,835,634.17/310,307.26
  6. Step 6: Final answer
    x = 243,116.57

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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.