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Finding the Fourth Proportional to 296,993.52, 409,869.72 and 162,857.52

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Solution

The fourth proportional to 296,993.52, 409,869.72 and 162,857.52 is: 224,753.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,993.52 : 409,869.72 = 162,857.52 : x
  2. Step 2: Convert to fraction form
    296,993.52/409,869.72 = 162,857.52/x
  3. Step 3: Cross multiply
    296,993.52x = 409,869.72 × 162,857.52
  4. Step 4: Simplify right side
    296,993.52x = 66,750,366,122.29
  5. Step 5: Solve for x
    x = 66,750,366,122.29/296,993.52
  6. Step 6: Final answer
    x = 224,753.61

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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.