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Finding the Fourth Proportional to 265,941.80, 398,912.70 and 202,956.20

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Solution

The fourth proportional to 265,941.80, 398,912.70 and 202,956.20 is: 304,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,941.80 : 398,912.70 = 202,956.20 : x
  2. Step 2: Convert to fraction form
    265,941.80/398,912.70 = 202,956.20/x
  3. Step 3: Cross multiply
    265,941.80x = 398,912.70 × 202,956.20
  4. Step 4: Simplify right side
    265,941.80x = 80,961,805,723.74
  5. Step 5: Solve for x
    x = 80,961,805,723.74/265,941.80
  6. Step 6: Final answer
    x = 304,434.30

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Why These Related Problems?

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