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Finding the Fourth Proportional to 405,375.97, 559,410.60 and 224,095.54

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Solution

The fourth proportional to 405,375.97, 559,410.60 and 224,095.54 is: 309,247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,375.97 : 559,410.60 = 224,095.54 : x
  2. Step 2: Convert to fraction form
    405,375.97/559,410.60 = 224,095.54/x
  3. Step 3: Cross multiply
    405,375.97x = 559,410.60 × 224,095.54
  4. Step 4: Simplify right side
    405,375.97x = 125,361,420,488.72
  5. Step 5: Solve for x
    x = 125,361,420,488.72/405,375.97
  6. Step 6: Final answer
    x = 309,247.29

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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.