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Finding the Fourth Proportional to 297,000.24, 409,865.66 and 161,038.77

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Solution

The fourth proportional to 297,000.24, 409,865.66 and 161,038.77 is: 222,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,000.24 : 409,865.66 = 161,038.77 : x
  2. Step 2: Convert to fraction form
    297,000.24/409,865.66 = 161,038.77/x
  3. Step 3: Cross multiply
    297,000.24x = 409,865.66 × 161,038.77
  4. Step 4: Simplify right side
    297,000.24x = 66,004,260,946.44
  5. Step 5: Solve for x
    x = 66,004,260,946.44/297,000.24
  6. Step 6: Final answer
    x = 222,236.39

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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.