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Finding the Fourth Proportional to 405,844.87, 560,082.42 and 224,553.85

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Solution

The fourth proportional to 405,844.87, 560,082.42 and 224,553.85 is: 309,893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,844.87 : 560,082.42 = 224,553.85 : x
  2. Step 2: Convert to fraction form
    405,844.87/560,082.42 = 224,553.85/x
  3. Step 3: Cross multiply
    405,844.87x = 560,082.42 × 224,553.85
  4. Step 4: Simplify right side
    405,844.87x = 125,768,663,728.32
  5. Step 5: Solve for x
    x = 125,768,663,728.32/405,844.87
  6. Step 6: Final answer
    x = 309,893.44

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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.