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Finding the Fourth Proportional to 411,904.80, 617,857.20 and 323,431.20

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Solution

The fourth proportional to 411,904.80, 617,857.20 and 323,431.20 is: 485,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,904.80 : 617,857.20 = 323,431.20 : x
  2. Step 2: Convert to fraction form
    411,904.80/617,857.20 = 323,431.20/x
  3. Step 3: Cross multiply
    411,904.80x = 617,857.20 × 323,431.20
  4. Step 4: Simplify right side
    411,904.80x = 199,834,295,624.64
  5. Step 5: Solve for x
    x = 199,834,295,624.64/411,904.80
  6. Step 6: Final answer
    x = 485,146.80

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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.