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Finding the Fourth Proportional to 265,475.20, 398,207.68 and 65,796

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Solution

The fourth proportional to 265,475.20, 398,207.68 and 65,796 is: 98,692.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,475.20 : 398,207.68 = 65,796 : x
  2. Step 2: Convert to fraction form
    265,475.20/398,207.68 = 65,796/x
  3. Step 3: Cross multiply
    265,475.20x = 398,207.68 × 65,796
  4. Step 4: Simplify right side
    265,475.20x = 26,200,472,513.28
  5. Step 5: Solve for x
    x = 26,200,472,513.28/265,475.20
  6. Step 6: Final answer
    x = 98,692.73

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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.