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Finding the Fourth Proportional to 568,454.20, 784,462.98 and 313,805.32

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Solution

The fourth proportional to 568,454.20, 784,462.98 and 313,805.32 is: 433,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,454.20 : 784,462.98 = 313,805.32 : x
  2. Step 2: Convert to fraction form
    568,454.20/784,462.98 = 313,805.32/x
  3. Step 3: Cross multiply
    568,454.20x = 784,462.98 × 313,805.32
  4. Step 4: Simplify right side
    568,454.20x = 246,168,656,467.05
  5. Step 5: Solve for x
    x = 246,168,656,467.05/568,454.20
  6. Step 6: Final answer
    x = 433,049.24

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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.