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Finding the Fourth Proportional to 441,449.48, 609,188.82 and 257,723.24

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Solution

The fourth proportional to 441,449.48, 609,188.82 and 257,723.24 is: 355,651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,449.48 : 609,188.82 = 257,723.24 : x
  2. Step 2: Convert to fraction form
    441,449.48/609,188.82 = 257,723.24/x
  3. Step 3: Cross multiply
    441,449.48x = 609,188.82 × 257,723.24
  4. Step 4: Simplify right side
    441,449.48x = 157,002,116,462.18
  5. Step 5: Solve for x
    x = 157,002,116,462.18/441,449.48
  6. Step 6: Final answer
    x = 355,651.38

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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.