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Finding the Fourth Proportional to 297,336, 410,326.74 and 161,371.11

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Solution

The fourth proportional to 297,336, 410,326.74 and 161,371.11 is: 222,693.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,336 : 410,326.74 = 161,371.11 : x
  2. Step 2: Convert to fraction form
    297,336/410,326.74 = 161,371.11/x
  3. Step 3: Cross multiply
    297,336x = 410,326.74 × 161,371.11
  4. Step 4: Simplify right side
    297,336x = 66,214,881,496.48
  5. Step 5: Solve for x
    x = 66,214,881,496.48/297,336
  6. Step 6: Final answer
    x = 222,693.79

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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.