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Finding the Fourth Proportional to 296,997.02, 409,874.55 and 162,861.02

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Solution

The fourth proportional to 296,997.02, 409,874.55 and 162,861.02 is: 224,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,997.02 : 409,874.55 = 162,861.02 : x
  2. Step 2: Convert to fraction form
    296,997.02/409,874.55 = 162,861.02/x
  3. Step 3: Cross multiply
    296,997.02x = 409,874.55 × 162,861.02
  4. Step 4: Simplify right side
    296,997.02x = 66,752,587,285.04
  5. Step 5: Solve for x
    x = 66,752,587,285.04/296,997.02
  6. Step 6: Final answer
    x = 224,758.44

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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.