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Finding the Fourth Proportional to 577,224.94, 796,501.40 and 319,067

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Solution

The fourth proportional to 577,224.94, 796,501.40 and 319,067 is: 440,274.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,224.94 : 796,501.40 = 319,067 : x
  2. Step 2: Convert to fraction form
    577,224.94/796,501.40 = 319,067/x
  3. Step 3: Cross multiply
    577,224.94x = 796,501.40 × 319,067
  4. Step 4: Simplify right side
    577,224.94x = 254,137,312,193.80
  5. Step 5: Solve for x
    x = 254,137,312,193.80/577,224.94
  6. Step 6: Final answer
    x = 440,274.31

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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.