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Finding the Fourth Proportional to 292,741.52, 403,978.04 and 165,414.36

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Solution

The fourth proportional to 292,741.52, 403,978.04 and 165,414.36 is: 228,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,741.52 : 403,978.04 = 165,414.36 : x
  2. Step 2: Convert to fraction form
    292,741.52/403,978.04 = 165,414.36/x
  3. Step 3: Cross multiply
    292,741.52x = 403,978.04 × 165,414.36
  4. Step 4: Simplify right side
    292,741.52x = 66,823,768,940.65
  5. Step 5: Solve for x
    x = 66,823,768,940.65/292,741.52
  6. Step 6: Final answer
    x = 228,268.85

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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.