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Finding the Fourth Proportional to 261,220.89, 360,524.23 and 159,305.47

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Solution

The fourth proportional to 261,220.89, 360,524.23 and 159,305.47 is: 219,865.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,220.89 : 360,524.23 = 159,305.47 : x
  2. Step 2: Convert to fraction form
    261,220.89/360,524.23 = 159,305.47/x
  3. Step 3: Cross multiply
    261,220.89x = 360,524.23 × 159,305.47
  4. Step 4: Simplify right side
    261,220.89x = 57,433,481,906.54
  5. Step 5: Solve for x
    x = 57,433,481,906.54/261,220.89
  6. Step 6: Final answer
    x = 219,865.58

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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.