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Finding the Fourth Proportional to 265,906, 398,635.28 and 123,679.02

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Solution

The fourth proportional to 265,906, 398,635.28 and 123,679.02 is: 185,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,906 : 398,635.28 = 123,679.02 : x
  2. Step 2: Convert to fraction form
    265,906/398,635.28 = 123,679.02/x
  3. Step 3: Cross multiply
    265,906x = 398,635.28 × 123,679.02
  4. Step 4: Simplify right side
    265,906x = 49,302,820,767.83
  5. Step 5: Solve for x
    x = 49,302,820,767.83/265,906
  6. Step 6: Final answer
    x = 185,414.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.