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Finding the Fourth Proportional to 754,974, 1,041,871.41 and 415,449.54

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Solution

The fourth proportional to 754,974, 1,041,871.41 and 415,449.54 is: 573,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,974 : 1,041,871.41 = 415,449.54 : x
  2. Step 2: Convert to fraction form
    754,974/1,041,871.41 = 415,449.54/x
  3. Step 3: Cross multiply
    754,974x = 1,041,871.41 × 415,449.54
  4. Step 4: Simplify right side
    754,974x = 432,844,998,023.65
  5. Step 5: Solve for x
    x = 432,844,998,023.65/754,974
  6. Step 6: Final answer
    x = 573,324.38

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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.