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Finding the Fourth Proportional to 577,115.50, 796,404.54 and 322,468.78

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Solution

The fourth proportional to 577,115.50, 796,404.54 and 322,468.78 is: 444,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,115.50 : 796,404.54 = 322,468.78 : x
  2. Step 2: Convert to fraction form
    577,115.50/796,404.54 = 322,468.78/x
  3. Step 3: Cross multiply
    577,115.50x = 796,404.54 × 322,468.78
  4. Step 4: Simplify right side
    577,115.50x = 256,815,600,400.26
  5. Step 5: Solve for x
    x = 256,815,600,400.26/577,115.50
  6. Step 6: Final answer
    x = 444,998.62

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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.