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Finding the Fourth Proportional to 405,257.40, 559,324.68 and 235,589.88

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Solution

The fourth proportional to 405,257.40, 559,324.68 and 235,589.88 is: 325,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,257.40 : 559,324.68 = 235,589.88 : x
  2. Step 2: Convert to fraction form
    405,257.40/559,324.68 = 235,589.88/x
  3. Step 3: Cross multiply
    405,257.40x = 559,324.68 × 235,589.88
  4. Step 4: Simplify right side
    405,257.40x = 131,771,234,242.24
  5. Step 5: Solve for x
    x = 131,771,234,242.24/405,257.40
  6. Step 6: Final answer
    x = 325,154.42

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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.