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Finding the Fourth Proportional to 405,176.34, 559,149.27 and 223,892.46

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Solution

The fourth proportional to 405,176.34, 559,149.27 and 223,892.46 is: 308,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,176.34 : 559,149.27 = 223,892.46 : x
  2. Step 2: Convert to fraction form
    405,176.34/559,149.27 = 223,892.46/x
  3. Step 3: Cross multiply
    405,176.34x = 559,149.27 × 223,892.46
  4. Step 4: Simplify right side
    405,176.34x = 125,189,305,567.50
  5. Step 5: Solve for x
    x = 125,189,305,567.50/405,176.34
  6. Step 6: Final answer
    x = 308,974.87

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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.