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Finding the Fourth Proportional to 531,427.44, 797,331.24 and 227,694

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Solution

The fourth proportional to 531,427.44, 797,331.24 and 227,694 is: 341,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,427.44 : 797,331.24 = 227,694 : x
  2. Step 2: Convert to fraction form
    531,427.44/797,331.24 = 227,694/x
  3. Step 3: Cross multiply
    531,427.44x = 797,331.24 × 227,694
  4. Step 4: Simplify right side
    531,427.44x = 181,547,539,360.56
  5. Step 5: Solve for x
    x = 181,547,539,360.56/531,427.44
  6. Step 6: Final answer
    x = 341,622.44

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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.