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Finding the Fourth Proportional to 405,107.20, 559,053.78 and 223,823.32

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Solution

The fourth proportional to 405,107.20, 559,053.78 and 223,823.32 is: 308,879.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,107.20 : 559,053.78 = 223,823.32 : x
  2. Step 2: Convert to fraction form
    405,107.20/559,053.78 = 223,823.32/x
  3. Step 3: Cross multiply
    405,107.20x = 559,053.78 × 223,823.32
  4. Step 4: Simplify right side
    405,107.20x = 125,129,273,098.15
  5. Step 5: Solve for x
    x = 125,129,273,098.15/405,107.20
  6. Step 6: Final answer
    x = 308,879.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.