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Finding the Fourth Proportional to 405,844.80, 560,082.34 and 224,553.78

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Solution

The fourth proportional to 405,844.80, 560,082.34 and 224,553.78 is: 309,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,844.80 : 560,082.34 = 224,553.78 : x
  2. Step 2: Convert to fraction form
    405,844.80/560,082.34 = 224,553.78/x
  3. Step 3: Cross multiply
    405,844.80x = 560,082.34 × 224,553.78
  4. Step 4: Simplify right side
    405,844.80x = 125,768,606,558.25
  5. Step 5: Solve for x
    x = 125,768,606,558.25/405,844.80
  6. Step 6: Final answer
    x = 309,893.35

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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.