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Finding the Fourth Proportional to 587,811, 882,109.95 and 213,834

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Solution

The fourth proportional to 587,811, 882,109.95 and 213,834 is: 320,894.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,811 : 882,109.95 = 213,834 : x
  2. Step 2: Convert to fraction form
    587,811/882,109.95 = 213,834/x
  3. Step 3: Cross multiply
    587,811x = 882,109.95 × 213,834
  4. Step 4: Simplify right side
    587,811x = 188,625,099,048.30
  5. Step 5: Solve for x
    x = 188,625,099,048.30/587,811
  6. Step 6: Final answer
    x = 320,894.13

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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.