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Finding the Fourth Proportional to 365,238.66, 504,019.97 and 204,095.04

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Solution

The fourth proportional to 365,238.66, 504,019.97 and 204,095.04 is: 281,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,238.66 : 504,019.97 = 204,095.04 : x
  2. Step 2: Convert to fraction form
    365,238.66/504,019.97 = 204,095.04/x
  3. Step 3: Cross multiply
    365,238.66x = 504,019.97 × 204,095.04
  4. Step 4: Simplify right side
    365,238.66x = 102,867,973,792.76
  5. Step 5: Solve for x
    x = 102,867,973,792.76/365,238.66
  6. Step 6: Final answer
    x = 281,645.90

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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.