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Finding the Fourth Proportional to 412,412.68, 618,642.30 and 128,143.60

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Solution

The fourth proportional to 412,412.68, 618,642.30 and 128,143.60 is: 192,222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,412.68 : 618,642.30 = 128,143.60 : x
  2. Step 2: Convert to fraction form
    412,412.68/618,642.30 = 128,143.60/x
  3. Step 3: Cross multiply
    412,412.68x = 618,642.30 × 128,143.60
  4. Step 4: Simplify right side
    412,412.68x = 79,275,051,434.28
  5. Step 5: Solve for x
    x = 79,275,051,434.28/412,412.68
  6. Step 6: Final answer
    x = 192,222.63

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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.