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Finding the Fourth Proportional to 577,345.38, 796,704.42 and 319,207.38

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Solution

The fourth proportional to 577,345.38, 796,704.42 and 319,207.38 is: 440,488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,345.38 : 796,704.42 = 319,207.38 : x
  2. Step 2: Convert to fraction form
    577,345.38/796,704.42 = 319,207.38/x
  3. Step 3: Cross multiply
    577,345.38x = 796,704.42 × 319,207.38
  4. Step 4: Simplify right side
    577,345.38x = 254,313,930,542.62
  5. Step 5: Solve for x
    x = 254,313,930,542.62/577,345.38
  6. Step 6: Final answer
    x = 440,488.38

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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.