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Finding the Fourth Proportional to 292,435.31, 403,560.73 and 165,119.11

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Solution

The fourth proportional to 292,435.31, 403,560.73 and 165,119.11 is: 227,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,435.31 : 403,560.73 = 165,119.11 : x
  2. Step 2: Convert to fraction form
    292,435.31/403,560.73 = 165,119.11/x
  3. Step 3: Cross multiply
    292,435.31x = 403,560.73 × 165,119.11
  4. Step 4: Simplify right side
    292,435.31x = 66,635,587,766.05
  5. Step 5: Solve for x
    x = 66,635,587,766.05/292,435.31
  6. Step 6: Final answer
    x = 227,864.37

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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.