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Finding the Fourth Proportional to 412,300.80, 568,972.80 and 233,452.80

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Solution

The fourth proportional to 412,300.80, 568,972.80 and 233,452.80 is: 322,163.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,300.80 : 568,972.80 = 233,452.80 : x
  2. Step 2: Convert to fraction form
    412,300.80/568,972.80 = 233,452.80/x
  3. Step 3: Cross multiply
    412,300.80x = 568,972.80 × 233,452.80
  4. Step 4: Simplify right side
    412,300.80x = 132,828,293,283.84
  5. Step 5: Solve for x
    x = 132,828,293,283.84/412,300.80
  6. Step 6: Final answer
    x = 322,163.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.