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Finding the Fourth Proportional to 427,464.57, 589,883.39 and 233,871.33

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Solution

The fourth proportional to 427,464.57, 589,883.39 and 233,871.33 is: 322,732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,464.57 : 589,883.39 = 233,871.33 : x
  2. Step 2: Convert to fraction form
    427,464.57/589,883.39 = 233,871.33/x
  3. Step 3: Cross multiply
    427,464.57x = 589,883.39 × 233,871.33
  4. Step 4: Simplify right side
    427,464.57x = 137,956,811,794.85
  5. Step 5: Solve for x
    x = 137,956,811,794.85/427,464.57
  6. Step 6: Final answer
    x = 322,732.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.