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Finding the Fourth Proportional to 292,996.56, 404,319.24 and 165,697.68

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Solution

The fourth proportional to 292,996.56, 404,319.24 and 165,697.68 is: 228,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,996.56 : 404,319.24 = 165,697.68 : x
  2. Step 2: Convert to fraction form
    292,996.56/404,319.24 = 165,697.68/x
  3. Step 3: Cross multiply
    292,996.56x = 404,319.24 × 165,697.68
  4. Step 4: Simplify right side
    292,996.56x = 66,994,760,047.36
  5. Step 5: Solve for x
    x = 66,994,760,047.36/292,996.56
  6. Step 6: Final answer
    x = 228,653.74

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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.