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Finding the Fourth Proportional to 462,022.80, 693,131.40 and 195,646.20

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Solution

The fourth proportional to 462,022.80, 693,131.40 and 195,646.20 is: 293,510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,022.80 : 693,131.40 = 195,646.20 : x
  2. Step 2: Convert to fraction form
    462,022.80/693,131.40 = 195,646.20/x
  3. Step 3: Cross multiply
    462,022.80x = 693,131.40 × 195,646.20
  4. Step 4: Simplify right side
    462,022.80x = 135,608,524,510.68
  5. Step 5: Solve for x
    x = 135,608,524,510.68/462,022.80
  6. Step 6: Final answer
    x = 293,510.46

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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.