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Finding the Fourth Proportional to 412,523.75, 618,786.11 and 113,006.90

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Solution

The fourth proportional to 412,523.75, 618,786.11 and 113,006.90 is: 169,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,523.75 : 618,786.11 = 113,006.90 : x
  2. Step 2: Convert to fraction form
    412,523.75/618,786.11 = 113,006.90/x
  3. Step 3: Cross multiply
    412,523.75x = 618,786.11 × 113,006.90
  4. Step 4: Simplify right side
    412,523.75x = 69,927,097,242.75
  5. Step 5: Solve for x
    x = 69,927,097,242.75/412,523.75
  6. Step 6: Final answer
    x = 169,510.48

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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.