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Finding the Fourth Proportional to 289,057.20, 433,585.80 and 200,410.80

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Solution

The fourth proportional to 289,057.20, 433,585.80 and 200,410.80 is: 300,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,057.20 : 433,585.80 = 200,410.80 : x
  2. Step 2: Convert to fraction form
    289,057.20/433,585.80 = 200,410.80/x
  3. Step 3: Cross multiply
    289,057.20x = 433,585.80 × 200,410.80
  4. Step 4: Simplify right side
    289,057.20x = 86,895,277,046.64
  5. Step 5: Solve for x
    x = 86,895,277,046.64/289,057.20
  6. Step 6: Final answer
    x = 300,616.20

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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.