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Finding the Fourth Proportional to 512,363.20, 768,544.80 and 453,314.20

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Solution

The fourth proportional to 512,363.20, 768,544.80 and 453,314.20 is: 679,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,363.20 : 768,544.80 = 453,314.20 : x
  2. Step 2: Convert to fraction form
    512,363.20/768,544.80 = 453,314.20/x
  3. Step 3: Cross multiply
    512,363.20x = 768,544.80 × 453,314.20
  4. Step 4: Simplify right side
    512,363.20x = 348,392,271,176.16
  5. Step 5: Solve for x
    x = 348,392,271,176.16/512,363.20
  6. Step 6: Final answer
    x = 679,971.30

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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.