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Finding the Fourth Proportional to 512,232.20, 768,348.30 and 302,107.40

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Solution

The fourth proportional to 512,232.20, 768,348.30 and 302,107.40 is: 453,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,232.20 : 768,348.30 = 302,107.40 : x
  2. Step 2: Convert to fraction form
    512,232.20/768,348.30 = 302,107.40/x
  3. Step 3: Cross multiply
    512,232.20x = 768,348.30 × 302,107.40
  4. Step 4: Simplify right side
    512,232.20x = 232,123,707,207.42
  5. Step 5: Solve for x
    x = 232,123,707,207.42/512,232.20
  6. Step 6: Final answer
    x = 453,161.10

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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.