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Finding the Fourth Proportional to 427,164.73, 589,468.66 and 233,568.79

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Solution

The fourth proportional to 427,164.73, 589,468.66 and 233,568.79 is: 322,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,164.73 : 589,468.66 = 233,568.79 : x
  2. Step 2: Convert to fraction form
    427,164.73/589,468.66 = 233,568.79/x
  3. Step 3: Cross multiply
    427,164.73x = 589,468.66 × 233,568.79
  4. Step 4: Simplify right side
    427,164.73x = 137,681,481,659.12
  5. Step 5: Solve for x
    x = 137,681,481,659.12/427,164.73
  6. Step 6: Final answer
    x = 322,314.72

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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.