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Finding the Fourth Proportional to 297,088.47, 409,982.31 and 161,122.37

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Solution

The fourth proportional to 297,088.47, 409,982.31 and 161,122.37 is: 222,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,088.47 : 409,982.31 = 161,122.37 : x
  2. Step 2: Convert to fraction form
    297,088.47/409,982.31 = 161,122.37/x
  3. Step 3: Cross multiply
    297,088.47x = 409,982.31 × 161,122.37
  4. Step 4: Simplify right side
    297,088.47x = 66,057,319,395.36
  5. Step 5: Solve for x
    x = 66,057,319,395.36/297,088.47
  6. Step 6: Final answer
    x = 222,348.98

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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.