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Finding the Fourth Proportional to 563,731.80, 844,420.10 and 264,467.80

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Solution

The fourth proportional to 563,731.80, 844,420.10 and 264,467.80 is: 396,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,731.80 : 844,420.10 = 264,467.80 : x
  2. Step 2: Convert to fraction form
    563,731.80/844,420.10 = 264,467.80/x
  3. Step 3: Cross multiply
    563,731.80x = 844,420.10 × 264,467.80
  4. Step 4: Simplify right side
    563,731.80x = 223,321,926,122.78
  5. Step 5: Solve for x
    x = 223,321,926,122.78/563,731.80
  6. Step 6: Final answer
    x = 396,149.24

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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.