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Finding the Fourth Proportional to 577,494.66, 796,947.94 and 319,358.27

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Solution

The fourth proportional to 577,494.66, 796,947.94 and 319,358.27 is: 440,717.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,494.66 : 796,947.94 = 319,358.27 : x
  2. Step 2: Convert to fraction form
    577,494.66/796,947.94 = 319,358.27/x
  3. Step 3: Cross multiply
    577,494.66x = 796,947.94 × 319,358.27
  4. Step 4: Simplify right side
    577,494.66x = 254,511,914,650.42
  5. Step 5: Solve for x
    x = 254,511,914,650.42/577,494.66
  6. Step 6: Final answer
    x = 440,717.34

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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.