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Finding the Fourth Proportional to 589,454.66, 813,447.44 and 321,182.66

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Solution

The fourth proportional to 589,454.66, 813,447.44 and 321,182.66 is: 443,232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,454.66 : 813,447.44 = 321,182.66 : x
  2. Step 2: Convert to fraction form
    589,454.66/813,447.44 = 321,182.66/x
  3. Step 3: Cross multiply
    589,454.66x = 813,447.44 × 321,182.66
  4. Step 4: Simplify right side
    589,454.66x = 261,265,206,876.24
  5. Step 5: Solve for x
    x = 261,265,206,876.24/589,454.66
  6. Step 6: Final answer
    x = 443,232.07

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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.