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Finding the Fourth Proportional to 365,102.31, 546,321.29 and 215,414.31

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Solution

The fourth proportional to 365,102.31, 546,321.29 and 215,414.31 is: 322,335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,102.31 : 546,321.29 = 215,414.31 : x
  2. Step 2: Convert to fraction form
    365,102.31/546,321.29 = 215,414.31/x
  3. Step 3: Cross multiply
    365,102.31x = 546,321.29 × 215,414.31
  4. Step 4: Simplify right side
    365,102.31x = 117,685,422,646.59
  5. Step 5: Solve for x
    x = 117,685,422,646.59/365,102.31
  6. Step 6: Final answer
    x = 322,335.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.