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Finding the Fourth Proportional to 405,022.96, 558,920.85 and 223,730.99

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Solution

The fourth proportional to 405,022.96, 558,920.85 and 223,730.99 is: 308,742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,022.96 : 558,920.85 = 223,730.99 : x
  2. Step 2: Convert to fraction form
    405,022.96/558,920.85 = 223,730.99/x
  3. Step 3: Cross multiply
    405,022.96x = 558,920.85 × 223,730.99
  4. Step 4: Simplify right side
    405,022.96x = 125,047,915,102.14
  5. Step 5: Solve for x
    x = 125,047,915,102.14/405,022.96
  6. Step 6: Final answer
    x = 308,742.78

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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.