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Finding the Fourth Proportional to 588,214, 882,452.22 and 214,237

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Solution

The fourth proportional to 588,214, 882,452.22 and 214,237 is: 321,403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,214 : 882,452.22 = 214,237 : x
  2. Step 2: Convert to fraction form
    588,214/882,452.22 = 214,237/x
  3. Step 3: Cross multiply
    588,214x = 882,452.22 × 214,237
  4. Step 4: Simplify right side
    588,214x = 189,053,916,256.14
  5. Step 5: Solve for x
    x = 189,053,916,256.14/588,214
  6. Step 6: Final answer
    x = 321,403.29

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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.