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Finding the Fourth Proportional to 287,684.92, 431,575.64 and 87,958.50

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Solution

The fourth proportional to 287,684.92, 431,575.64 and 87,958.50 is: 131,952.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,684.92 : 431,575.64 = 87,958.50 : x
  2. Step 2: Convert to fraction form
    287,684.92/431,575.64 = 87,958.50/x
  3. Step 3: Cross multiply
    287,684.92x = 431,575.64 × 87,958.50
  4. Step 4: Simplify right side
    287,684.92x = 37,960,745,930.94
  5. Step 5: Solve for x
    x = 37,960,745,930.94/287,684.92
  6. Step 6: Final answer
    x = 131,952.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.