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Finding the Fourth Proportional to 365,274.21, 504,089.24 and 204,129.72

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Solution

The fourth proportional to 365,274.21, 504,089.24 and 204,129.72 is: 281,705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,274.21 : 504,089.24 = 204,129.72 : x
  2. Step 2: Convert to fraction form
    365,274.21/504,089.24 = 204,129.72/x
  3. Step 3: Cross multiply
    365,274.21x = 504,089.24 × 204,129.72
  4. Step 4: Simplify right side
    365,274.21x = 102,899,594,395.56
  5. Step 5: Solve for x
    x = 102,899,594,395.56/365,274.21
  6. Step 6: Final answer
    x = 281,705.06

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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.