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Finding the Fourth Proportional to 428,449.68, 638,844 and 416,679.12

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Solution

The fourth proportional to 428,449.68, 638,844 and 416,679.12 is: 621,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,449.68 : 638,844 = 416,679.12 : x
  2. Step 2: Convert to fraction form
    428,449.68/638,844 = 416,679.12/x
  3. Step 3: Cross multiply
    428,449.68x = 638,844 × 416,679.12
  4. Step 4: Simplify right side
    428,449.68x = 266,192,955,737.28
  5. Step 5: Solve for x
    x = 266,192,955,737.28/428,449.68
  6. Step 6: Final answer
    x = 621,293.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.