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Finding the Fourth Proportional to 365,671.82, 504,628.24 and 204,516.40

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Solution

The fourth proportional to 365,671.82, 504,628.24 and 204,516.40 is: 282,233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,671.82 : 504,628.24 = 204,516.40 : x
  2. Step 2: Convert to fraction form
    365,671.82/504,628.24 = 204,516.40/x
  3. Step 3: Cross multiply
    365,671.82x = 504,628.24 × 204,516.40
  4. Step 4: Simplify right side
    365,671.82x = 103,204,750,983.14
  5. Step 5: Solve for x
    x = 103,204,750,983.14/365,671.82
  6. Step 6: Final answer
    x = 282,233.26

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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.