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Finding the Fourth Proportional to 325,690.38, 449,400.42 and 204,746.04

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Solution

The fourth proportional to 325,690.38, 449,400.42 and 204,746.04 is: 282,516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,690.38 : 449,400.42 = 204,746.04 : x
  2. Step 2: Convert to fraction form
    325,690.38/449,400.42 = 204,746.04/x
  3. Step 3: Cross multiply
    325,690.38x = 449,400.42 × 204,746.04
  4. Step 4: Simplify right side
    325,690.38x = 92,012,956,369.34
  5. Step 5: Solve for x
    x = 92,012,956,369.34/325,690.38
  6. Step 6: Final answer
    x = 282,516.65

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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.