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Finding the Fourth Proportional to 411,433.14, 617,163.34 and 141,558.68

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Solution

The fourth proportional to 411,433.14, 617,163.34 and 141,558.68 is: 212,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,433.14 : 617,163.34 = 141,558.68 : x
  2. Step 2: Convert to fraction form
    411,433.14/617,163.34 = 141,558.68/x
  3. Step 3: Cross multiply
    411,433.14x = 617,163.34 × 141,558.68
  4. Step 4: Simplify right side
    411,433.14x = 87,364,827,754.79
  5. Step 5: Solve for x
    x = 87,364,827,754.79/411,433.14
  6. Step 6: Final answer
    x = 212,342.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.