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Finding the Fourth Proportional to 405,435.41, 559,589.69 and 235,767.41

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Solution

The fourth proportional to 405,435.41, 559,589.69 and 235,767.41 is: 325,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,435.41 : 559,589.69 = 235,767.41 : x
  2. Step 2: Convert to fraction form
    405,435.41/559,589.69 = 235,767.41/x
  3. Step 3: Cross multiply
    405,435.41x = 559,589.69 × 235,767.41
  4. Step 4: Simplify right side
    405,435.41x = 131,933,010,695.17
  5. Step 5: Solve for x
    x = 131,933,010,695.17/405,435.41
  6. Step 6: Final answer
    x = 325,410.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.