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Finding the Fourth Proportional to 580,267.24, 870,648.54 and 327,737.32

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Solution

The fourth proportional to 580,267.24, 870,648.54 and 327,737.32 is: 491,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,267.24 : 870,648.54 = 327,737.32 : x
  2. Step 2: Convert to fraction form
    580,267.24/870,648.54 = 327,737.32/x
  3. Step 3: Cross multiply
    580,267.24x = 870,648.54 × 327,737.32
  4. Step 4: Simplify right side
    580,267.24x = 285,344,019,161.51
  5. Step 5: Solve for x
    x = 285,344,019,161.51/580,267.24
  6. Step 6: Final answer
    x = 491,745.87

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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.