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Finding the Fourth Proportional to 307,331.30, 423,959.10 and 205,324.16

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Solution

The fourth proportional to 307,331.30, 423,959.10 and 205,324.16 is: 283,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,331.30 : 423,959.10 = 205,324.16 : x
  2. Step 2: Convert to fraction form
    307,331.30/423,959.10 = 205,324.16/x
  3. Step 3: Cross multiply
    307,331.30x = 423,959.10 × 205,324.16
  4. Step 4: Simplify right side
    307,331.30x = 87,049,046,081.86
  5. Step 5: Solve for x
    x = 87,049,046,081.86/307,331.30
  6. Step 6: Final answer
    x = 283,241.72

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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.