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Finding the Fourth Proportional to 292,984.33, 404,326.91 and 165,657.19

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Solution

The fourth proportional to 292,984.33, 404,326.91 and 165,657.19 is: 228,611.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,984.33 : 404,326.91 = 165,657.19 : x
  2. Step 2: Convert to fraction form
    292,984.33/404,326.91 = 165,657.19/x
  3. Step 3: Cross multiply
    292,984.33x = 404,326.91 × 165,657.19
  4. Step 4: Simplify right side
    292,984.33x = 66,979,657,912.88
  5. Step 5: Solve for x
    x = 66,979,657,912.88/292,984.33
  6. Step 6: Final answer
    x = 228,611.74

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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.