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Finding the Fourth Proportional to 405,525.88, 559,619.87 and 224,233.82

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Solution

The fourth proportional to 405,525.88, 559,619.87 and 224,233.82 is: 309,439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,525.88 : 559,619.87 = 224,233.82 : x
  2. Step 2: Convert to fraction form
    405,525.88/559,619.87 = 224,233.82/x
  3. Step 3: Cross multiply
    405,525.88x = 559,619.87 × 224,233.82
  4. Step 4: Simplify right side
    405,525.88x = 125,485,701,198.00
  5. Step 5: Solve for x
    x = 125,485,701,198.00/405,525.88
  6. Step 6: Final answer
    x = 309,439.44

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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.