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Finding the Fourth Proportional to 577,122.50, 796,414.20 and 322,475.78

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Solution

The fourth proportional to 577,122.50, 796,414.20 and 322,475.78 is: 445,008.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,122.50 : 796,414.20 = 322,475.78 : x
  2. Step 2: Convert to fraction form
    577,122.50/796,414.20 = 322,475.78/x
  3. Step 3: Cross multiply
    577,122.50x = 796,414.20 × 322,475.78
  4. Step 4: Simplify right side
    577,122.50x = 256,824,290,348.08
  5. Step 5: Solve for x
    x = 256,824,290,348.08/577,122.50
  6. Step 6: Final answer
    x = 445,008.28

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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.