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Finding the Fourth Proportional to 412,057.28, 568,710.24 and 233,209.28

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Solution

The fourth proportional to 412,057.28, 568,710.24 and 233,209.28 is: 321,869.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,057.28 : 568,710.24 = 233,209.28 : x
  2. Step 2: Convert to fraction form
    412,057.28/568,710.24 = 233,209.28/x
  3. Step 3: Cross multiply
    412,057.28x = 568,710.24 × 233,209.28
  4. Step 4: Simplify right side
    412,057.28x = 132,628,505,599.03
  5. Step 5: Solve for x
    x = 132,628,505,599.03/412,057.28
  6. Step 6: Final answer
    x = 321,869.10

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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.