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Finding the Fourth Proportional to 425,568.11, 587,280.08 and 231,975.77

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Solution

The fourth proportional to 425,568.11, 587,280.08 and 231,975.77 is: 320,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,568.11 : 587,280.08 = 231,975.77 : x
  2. Step 2: Convert to fraction form
    425,568.11/587,280.08 = 231,975.77/x
  3. Step 3: Cross multiply
    425,568.11x = 587,280.08 × 231,975.77
  4. Step 4: Simplify right side
    425,568.11x = 136,234,744,667.38
  5. Step 5: Solve for x
    x = 136,234,744,667.38/425,568.11
  6. Step 6: Final answer
    x = 320,124.42

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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.