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Finding the Fourth Proportional to 297,017.47, 409,883.67 and 161,051.17

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Solution

The fourth proportional to 297,017.47, 409,883.67 and 161,051.17 is: 222,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,017.47 : 409,883.67 = 161,051.17 : x
  2. Step 2: Convert to fraction form
    297,017.47/409,883.67 = 161,051.17/x
  3. Step 3: Cross multiply
    297,017.47x = 409,883.67 × 161,051.17
  4. Step 4: Simplify right side
    297,017.47x = 66,012,244,617.39
  5. Step 5: Solve for x
    x = 66,012,244,617.39/297,017.47
  6. Step 6: Final answer
    x = 222,250.38

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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.