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Finding the Fourth Proportional to 589,338.56, 813,073.88 and 385,505.84

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Solution

The fourth proportional to 589,338.56, 813,073.88 and 385,505.84 is: 531,858.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,338.56 : 813,073.88 = 385,505.84 : x
  2. Step 2: Convert to fraction form
    589,338.56/813,073.88 = 385,505.84/x
  3. Step 3: Cross multiply
    589,338.56x = 813,073.88 × 385,505.84
  4. Step 4: Simplify right side
    589,338.56x = 313,444,729,091.46
  5. Step 5: Solve for x
    x = 313,444,729,091.46/589,338.56
  6. Step 6: Final answer
    x = 531,858.51

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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.