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Finding the Fourth Proportional to 292,927.26, 404,257.05 and 165,614.70

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Solution

The fourth proportional to 292,927.26, 404,257.05 and 165,614.70 is: 228,558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,927.26 : 404,257.05 = 165,614.70 : x
  2. Step 2: Convert to fraction form
    292,927.26/404,257.05 = 165,614.70/x
  3. Step 3: Cross multiply
    292,927.26x = 404,257.05 × 165,614.70
  4. Step 4: Simplify right side
    292,927.26x = 66,950,910,058.64
  5. Step 5: Solve for x
    x = 66,950,910,058.64/292,927.26
  6. Step 6: Final answer
    x = 228,558.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.