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Finding the Fourth Proportional to 412,223.88, 618,627.93 and 187,613.22

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Solution

The fourth proportional to 412,223.88, 618,627.93 and 187,613.22 is: 281,552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,223.88 : 618,627.93 = 187,613.22 : x
  2. Step 2: Convert to fraction form
    412,223.88/618,627.93 = 187,613.22/x
  3. Step 3: Cross multiply
    412,223.88x = 618,627.93 × 187,613.22
  4. Step 4: Simplify right side
    412,223.88x = 116,062,777,929.24
  5. Step 5: Solve for x
    x = 116,062,777,929.24/412,223.88
  6. Step 6: Final answer
    x = 281,552.78

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1.5x scale

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.