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Finding the Fourth Proportional to 604,382.24, 834,067.32 and 332,471

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Solution

The fourth proportional to 604,382.24, 834,067.32 and 332,471 is: 458,820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,382.24 : 834,067.32 = 332,471 : x
  2. Step 2: Convert to fraction form
    604,382.24/834,067.32 = 332,471/x
  3. Step 3: Cross multiply
    604,382.24x = 834,067.32 × 332,471
  4. Step 4: Simplify right side
    604,382.24x = 277,303,195,947.72
  5. Step 5: Solve for x
    x = 277,303,195,947.72/604,382.24
  6. Step 6: Final answer
    x = 458,820.89

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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.