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Finding the Fourth Proportional to 405,708.44, 559,834.52 and 224,391.56

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Solution

The fourth proportional to 405,708.44, 559,834.52 and 224,391.56 is: 309,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,708.44 : 559,834.52 = 224,391.56 : x
  2. Step 2: Convert to fraction form
    405,708.44/559,834.52 = 224,391.56/x
  3. Step 3: Cross multiply
    405,708.44x = 559,834.52 × 224,391.56
  4. Step 4: Simplify right side
    405,708.44x = 125,622,141,284.65
  5. Step 5: Solve for x
    x = 125,622,141,284.65/405,708.44
  6. Step 6: Final answer
    x = 309,636.50

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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.