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Finding the Fourth Proportional to 310,417, 428,375.46 and 169,105

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Solution

The fourth proportional to 310,417, 428,375.46 and 169,105 is: 233,364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,417 : 428,375.46 = 169,105 : x
  2. Step 2: Convert to fraction form
    310,417/428,375.46 = 169,105/x
  3. Step 3: Cross multiply
    310,417x = 428,375.46 × 169,105
  4. Step 4: Simplify right side
    310,417x = 72,440,432,163.30
  5. Step 5: Solve for x
    x = 72,440,432,163.30/310,417
  6. Step 6: Final answer
    x = 233,364.90

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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.