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Finding the Fourth Proportional to 261,431.20, 360,745.44 and 146,694.84

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Solution

The fourth proportional to 261,431.20, 360,745.44 and 146,694.84 is: 202,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,431.20 : 360,745.44 = 146,694.84 : x
  2. Step 2: Convert to fraction form
    261,431.20/360,745.44 = 146,694.84/x
  3. Step 3: Cross multiply
    261,431.20x = 360,745.44 × 146,694.84
  4. Step 4: Simplify right side
    261,431.20x = 52,919,494,601.53
  5. Step 5: Solve for x
    x = 52,919,494,601.53/261,431.20
  6. Step 6: Final answer
    x = 202,422.26

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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.