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Finding the Fourth Proportional to 411,172.86, 617,296.43 and 330,163.14

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Solution

The fourth proportional to 411,172.86, 617,296.43 and 330,163.14 is: 495,676.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,172.86 : 617,296.43 = 330,163.14 : x
  2. Step 2: Convert to fraction form
    411,172.86/617,296.43 = 330,163.14/x
  3. Step 3: Cross multiply
    411,172.86x = 617,296.43 × 330,163.14
  4. Step 4: Simplify right side
    411,172.86x = 203,808,527,639.59
  5. Step 5: Solve for x
    x = 203,808,527,639.59/411,172.86
  6. Step 6: Final answer
    x = 495,676.02

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Why These Related Problems?

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