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Finding the Fourth Proportional to 412,776, 618,919.20 and 175,997.76

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Solution

The fourth proportional to 412,776, 618,919.20 and 175,997.76 is: 263,892.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,776 : 618,919.20 = 175,997.76 : x
  2. Step 2: Convert to fraction form
    412,776/618,919.20 = 175,997.76/x
  3. Step 3: Cross multiply
    412,776x = 618,919.20 × 175,997.76
  4. Step 4: Simplify right side
    412,776x = 108,928,392,820.99
  5. Step 5: Solve for x
    x = 108,928,392,820.99/412,776
  6. Step 6: Final answer
    x = 263,892.26

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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.