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Finding the Fourth Proportional to 323,104.19, 445,593.50 and 202,256.49

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Solution

The fourth proportional to 323,104.19, 445,593.50 and 202,256.49 is: 278,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,104.19 : 445,593.50 = 202,256.49 : x
  2. Step 2: Convert to fraction form
    323,104.19/445,593.50 = 202,256.49/x
  3. Step 3: Cross multiply
    323,104.19x = 445,593.50 × 202,256.49
  4. Step 4: Simplify right side
    323,104.19x = 90,124,179,832.66
  5. Step 5: Solve for x
    x = 90,124,179,832.66/323,104.19
  6. Step 6: Final answer
    x = 278,932.25

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1.5x scale

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.