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Finding the Fourth Proportional to 296,997.52, 409,875.24 and 162,861.52

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Solution

The fourth proportional to 296,997.52, 409,875.24 and 162,861.52 is: 224,759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,997.52 : 409,875.24 = 162,861.52 : x
  2. Step 2: Convert to fraction form
    296,997.52/409,875.24 = 162,861.52/x
  3. Step 3: Cross multiply
    296,997.52x = 409,875.24 × 162,861.52
  4. Step 4: Simplify right side
    296,997.52x = 66,752,904,596.76
  5. Step 5: Solve for x
    x = 66,752,904,596.76/296,997.52
  6. Step 6: Final answer
    x = 224,759.13

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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.