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Finding the Fourth Proportional to 405,000.96, 558,899.10 and 223,725.36

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Solution

The fourth proportional to 405,000.96, 558,899.10 and 223,725.36 is: 308,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,000.96 : 558,899.10 = 223,725.36 : x
  2. Step 2: Convert to fraction form
    405,000.96/558,899.10 = 223,725.36/x
  3. Step 3: Cross multiply
    405,000.96x = 558,899.10 × 223,725.36
  4. Step 4: Simplify right side
    405,000.96x = 125,039,902,351.18
  5. Step 5: Solve for x
    x = 125,039,902,351.18/405,000.96
  6. Step 6: Final answer
    x = 308,739.77

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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.