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Finding the Fourth Proportional to 577,116.50, 796,405.92 and 322,469.78

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Solution

The fourth proportional to 577,116.50, 796,405.92 and 322,469.78 is: 445,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,116.50 : 796,405.92 = 322,469.78 : x
  2. Step 2: Convert to fraction form
    577,116.50/796,405.92 = 322,469.78/x
  3. Step 3: Cross multiply
    577,116.50x = 796,405.92 × 322,469.78
  4. Step 4: Simplify right side
    577,116.50x = 256,816,841,813.10
  5. Step 5: Solve for x
    x = 256,816,841,813.10/577,116.50
  6. Step 6: Final answer
    x = 445,000.00

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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.