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Finding the Fourth Proportional to 270,026.10, 404,553.15 and 214,233.30

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Solution

The fourth proportional to 270,026.10, 404,553.15 and 214,233.30 is: 320,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,026.10 : 404,553.15 = 214,233.30 : x
  2. Step 2: Convert to fraction form
    270,026.10/404,553.15 = 214,233.30/x
  3. Step 3: Cross multiply
    270,026.10x = 404,553.15 × 214,233.30
  4. Step 4: Simplify right side
    270,026.10x = 86,668,756,349.90
  5. Step 5: Solve for x
    x = 86,668,756,349.90/270,026.10
  6. Step 6: Final answer
    x = 320,964.37

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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.