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Finding the Fourth Proportional to 296,196.36, 408,584.82 and 181,530.54

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Solution

The fourth proportional to 296,196.36, 408,584.82 and 181,530.54 is: 250,410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,196.36 : 408,584.82 = 181,530.54 : x
  2. Step 2: Convert to fraction form
    296,196.36/408,584.82 = 181,530.54/x
  3. Step 3: Cross multiply
    296,196.36x = 408,584.82 × 181,530.54
  4. Step 4: Simplify right side
    296,196.36x = 74,170,623,010.40
  5. Step 5: Solve for x
    x = 74,170,623,010.40/296,196.36
  6. Step 6: Final answer
    x = 250,410.31

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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.