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Finding the Fourth Proportional to 297,383.50, 410,389.64 and 161,417.48

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Solution

The fourth proportional to 297,383.50, 410,389.64 and 161,417.48 is: 222,756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,383.50 : 410,389.64 = 161,417.48 : x
  2. Step 2: Convert to fraction form
    297,383.50/410,389.64 = 161,417.48/x
  3. Step 3: Cross multiply
    297,383.50x = 410,389.64 × 161,417.48
  4. Step 4: Simplify right side
    297,383.50x = 66,244,061,506.91
  5. Step 5: Solve for x
    x = 66,244,061,506.91/297,383.50
  6. Step 6: Final answer
    x = 222,756.34

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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.