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Finding the Fourth Proportional to 292,404.32, 403,495.44 and 165,092.48

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Solution

The fourth proportional to 292,404.32, 403,495.44 and 165,092.48 is: 227,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,404.32 : 403,495.44 = 165,092.48 : x
  2. Step 2: Convert to fraction form
    292,404.32/403,495.44 = 165,092.48/x
  3. Step 3: Cross multiply
    292,404.32x = 403,495.44 × 165,092.48
  4. Step 4: Simplify right side
    292,404.32x = 66,614,062,858.29
  5. Step 5: Solve for x
    x = 66,614,062,858.29/292,404.32
  6. Step 6: Final answer
    x = 227,814.91

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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.