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Finding the Fourth Proportional to 442,855.20, 664,282.80 and 256,231.20

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Solution

The fourth proportional to 442,855.20, 664,282.80 and 256,231.20 is: 384,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,855.20 : 664,282.80 = 256,231.20 : x
  2. Step 2: Convert to fraction form
    442,855.20/664,282.80 = 256,231.20/x
  3. Step 3: Cross multiply
    442,855.20x = 664,282.80 × 256,231.20
  4. Step 4: Simplify right side
    442,855.20x = 170,209,978,983.36
  5. Step 5: Solve for x
    x = 170,209,978,983.36/442,855.20
  6. Step 6: Final answer
    x = 384,346.80

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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.