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Finding the Fourth Proportional to 405,438.41, 559,593.83 and 235,770.41

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Solution

The fourth proportional to 405,438.41, 559,593.83 and 235,770.41 is: 325,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,438.41 : 559,593.83 = 235,770.41 : x
  2. Step 2: Convert to fraction form
    405,438.41/559,593.83 = 235,770.41/x
  3. Step 3: Cross multiply
    405,438.41x = 559,593.83 × 235,770.41
  4. Step 4: Simplify right side
    405,438.41x = 131,935,666,732.57
  5. Step 5: Solve for x
    x = 131,935,666,732.57/405,438.41
  6. Step 6: Final answer
    x = 325,414.82

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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.