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Finding the Fourth Proportional to 577,114.50, 796,403.16 and 322,467.78

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Solution

The fourth proportional to 577,114.50, 796,403.16 and 322,467.78 is: 444,997.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,114.50 : 796,403.16 = 322,467.78 : x
  2. Step 2: Convert to fraction form
    577,114.50/796,403.16 = 322,467.78/x
  3. Step 3: Cross multiply
    577,114.50x = 796,403.16 × 322,467.78
  4. Step 4: Simplify right side
    577,114.50x = 256,814,358,990.19
  5. Step 5: Solve for x
    x = 256,814,358,990.19/577,114.50
  6. Step 6: Final answer
    x = 444,997.24

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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.