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Finding the Fourth Proportional to 462,406.30, 638,101.12 and 290,414.14

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Solution

The fourth proportional to 462,406.30, 638,101.12 and 290,414.14 is: 400,759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,406.30 : 638,101.12 = 290,414.14 : x
  2. Step 2: Convert to fraction form
    462,406.30/638,101.12 = 290,414.14/x
  3. Step 3: Cross multiply
    462,406.30x = 638,101.12 × 290,414.14
  4. Step 4: Simplify right side
    462,406.30x = 185,313,587,997.84
  5. Step 5: Solve for x
    x = 185,313,587,997.84/462,406.30
  6. Step 6: Final answer
    x = 400,759.22

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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.