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Finding the Fourth Proportional to 367,138.85, 506,659.46 and 206,005.55

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Solution

The fourth proportional to 367,138.85, 506,659.46 and 206,005.55 is: 284,292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,138.85 : 506,659.46 = 206,005.55 : x
  2. Step 2: Convert to fraction form
    367,138.85/506,659.46 = 206,005.55/x
  3. Step 3: Cross multiply
    367,138.85x = 506,659.46 × 206,005.55
  4. Step 4: Simplify right side
    367,138.85x = 104,374,657,156.68
  5. Step 5: Solve for x
    x = 104,374,657,156.68/367,138.85
  6. Step 6: Final answer
    x = 284,292.06

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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.