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Finding the Fourth Proportional to 265,938.60, 398,370.30 and 165,791.40

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Solution

The fourth proportional to 265,938.60, 398,370.30 and 165,791.40 is: 248,351.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,938.60 : 398,370.30 = 165,791.40 : x
  2. Step 2: Convert to fraction form
    265,938.60/398,370.30 = 165,791.40/x
  3. Step 3: Cross multiply
    265,938.60x = 398,370.30 × 165,791.40
  4. Step 4: Simplify right side
    265,938.60x = 66,046,369,755.42
  5. Step 5: Solve for x
    x = 66,046,369,755.42/265,938.60
  6. Step 6: Final answer
    x = 248,351.95

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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.