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Finding the Fourth Proportional to 405,072.56, 559,000.14 and 235,317.62

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Solution

The fourth proportional to 405,072.56, 559,000.14 and 235,317.62 is: 324,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,072.56 : 559,000.14 = 235,317.62 : x
  2. Step 2: Convert to fraction form
    405,072.56/559,000.14 = 235,317.62/x
  3. Step 3: Cross multiply
    405,072.56x = 559,000.14 × 235,317.62
  4. Step 4: Simplify right side
    405,072.56x = 131,542,583,039.53
  5. Step 5: Solve for x
    x = 131,542,583,039.53/405,072.56
  6. Step 6: Final answer
    x = 324,738.32

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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.