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Finding the Fourth Proportional to 405,450.12, 559,478.34 and 224,132.88

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Solution

The fourth proportional to 405,450.12, 559,478.34 and 224,132.88 is: 309,279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,450.12 : 559,478.34 = 224,132.88 : x
  2. Step 2: Convert to fraction form
    405,450.12/559,478.34 = 224,132.88/x
  3. Step 3: Cross multiply
    405,450.12x = 559,478.34 × 224,132.88
  4. Step 4: Simplify right side
    405,450.12x = 125,397,491,641.82
  5. Step 5: Solve for x
    x = 125,397,491,641.82/405,450.12
  6. Step 6: Final answer
    x = 309,279.70

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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.