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Finding the Fourth Proportional to 292,647.38, 438,513.15 and 226,251.14

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Solution

The fourth proportional to 292,647.38, 438,513.15 and 226,251.14 is: 339,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,647.38 : 438,513.15 = 226,251.14 : x
  2. Step 2: Convert to fraction form
    292,647.38/438,513.15 = 226,251.14/x
  3. Step 3: Cross multiply
    292,647.38x = 438,513.15 × 226,251.14
  4. Step 4: Simplify right side
    292,647.38x = 99,214,100,092.49
  5. Step 5: Solve for x
    x = 99,214,100,092.49/292,647.38
  6. Step 6: Final answer
    x = 339,022.68

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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.