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Finding the Fourth Proportional to 323,540.91, 446,300.85 and 202,471.95

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Solution

The fourth proportional to 323,540.91, 446,300.85 and 202,471.95 is: 279,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,540.91 : 446,300.85 = 202,471.95 : x
  2. Step 2: Convert to fraction form
    323,540.91/446,300.85 = 202,471.95/x
  3. Step 3: Cross multiply
    323,540.91x = 446,300.85 × 202,471.95
  4. Step 4: Simplify right side
    323,540.91x = 90,363,403,386.16
  5. Step 5: Solve for x
    x = 90,363,403,386.16/323,540.91
  6. Step 6: Final answer
    x = 279,295.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.