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Finding the Fourth Proportional to 275,479.80, 413,174.34 and 257,547.48

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Solution

The fourth proportional to 275,479.80, 413,174.34 and 257,547.48 is: 386,278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,479.80 : 413,174.34 = 257,547.48 : x
  2. Step 2: Convert to fraction form
    275,479.80/413,174.34 = 257,547.48/x
  3. Step 3: Cross multiply
    275,479.80x = 413,174.34 × 257,547.48
  4. Step 4: Simplify right side
    275,479.80x = 106,412,010,067.66
  5. Step 5: Solve for x
    x = 106,412,010,067.66/275,479.80
  6. Step 6: Final answer
    x = 386,278.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.