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Finding the Fourth Proportional to 405,474.60, 559,532.34 and 224,175.96

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Solution

The fourth proportional to 405,474.60, 559,532.34 and 224,175.96 is: 309,350.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,474.60 : 559,532.34 = 224,175.96 : x
  2. Step 2: Convert to fraction form
    405,474.60/559,532.34 = 224,175.96/x
  3. Step 3: Cross multiply
    405,474.60x = 559,532.34 × 224,175.96
  4. Step 4: Simplify right side
    405,474.60x = 125,433,699,470.55
  5. Step 5: Solve for x
    x = 125,433,699,470.55/405,474.60
  6. Step 6: Final answer
    x = 309,350.33

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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.