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Finding the Fourth Proportional to 412,224.88, 618,629.43 and 187,614.22

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Solution

The fourth proportional to 412,224.88, 618,629.43 and 187,614.22 is: 281,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,224.88 : 618,629.43 = 187,614.22 : x
  2. Step 2: Convert to fraction form
    412,224.88/618,629.43 = 187,614.22/x
  3. Step 3: Cross multiply
    412,224.88x = 618,629.43 × 187,614.22
  4. Step 4: Simplify right side
    412,224.88x = 116,063,677,978.50
  5. Step 5: Solve for x
    x = 116,063,677,978.50/412,224.88
  6. Step 6: Final answer
    x = 281,554.28

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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.