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Finding the Fourth Proportional to 365,011.57, 503,710.68 and 203,868.96

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Solution

The fourth proportional to 365,011.57, 503,710.68 and 203,868.96 is: 281,336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,011.57 : 503,710.68 = 203,868.96 : x
  2. Step 2: Convert to fraction form
    365,011.57/503,710.68 = 203,868.96/x
  3. Step 3: Cross multiply
    365,011.57x = 503,710.68 × 203,868.96
  4. Step 4: Simplify right side
    365,011.57x = 102,690,972,472.49
  5. Step 5: Solve for x
    x = 102,690,972,472.49/365,011.57
  6. Step 6: Final answer
    x = 281,336.21

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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.