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Finding the Fourth Proportional to 587,846.70, 882,162.77 and 213,869.70

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Solution

The fourth proportional to 587,846.70, 882,162.77 and 213,869.70 is: 320,947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,846.70 : 882,162.77 = 213,869.70 : x
  2. Step 2: Convert to fraction form
    587,846.70/882,162.77 = 213,869.70/x
  3. Step 3: Cross multiply
    587,846.70x = 882,162.77 × 213,869.70
  4. Step 4: Simplify right side
    587,846.70x = 188,667,885,901.72
  5. Step 5: Solve for x
    x = 188,667,885,901.72/587,846.70
  6. Step 6: Final answer
    x = 320,947.43

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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.