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Finding the Fourth Proportional to 292,748.88, 404,001.36 and 165,421.56

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Solution

The fourth proportional to 292,748.88, 404,001.36 and 165,421.56 is: 228,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,748.88 : 404,001.36 = 165,421.56 : x
  2. Step 2: Convert to fraction form
    292,748.88/404,001.36 = 165,421.56/x
  3. Step 3: Cross multiply
    292,748.88x = 404,001.36 × 165,421.56
  4. Step 4: Simplify right side
    292,748.88x = 66,830,535,213.32
  5. Step 5: Solve for x
    x = 66,830,535,213.32/292,748.88
  6. Step 6: Final answer
    x = 228,286.22

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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.