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Finding the Fourth Proportional to 405,081.94, 559,002.27 and 223,764.64

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Solution

The fourth proportional to 405,081.94, 559,002.27 and 223,764.64 is: 308,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,081.94 : 559,002.27 = 223,764.64 : x
  2. Step 2: Convert to fraction form
    405,081.94/559,002.27 = 223,764.64/x
  3. Step 3: Cross multiply
    405,081.94x = 559,002.27 × 223,764.64
  4. Step 4: Simplify right side
    405,081.94x = 125,084,941,705.73
  5. Step 5: Solve for x
    x = 125,084,941,705.73/405,081.94
  6. Step 6: Final answer
    x = 308,789.23

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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.