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Finding the Fourth Proportional to 411,889.80, 617,834.70 and 323,416.20

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Solution

The fourth proportional to 411,889.80, 617,834.70 and 323,416.20 is: 485,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,889.80 : 617,834.70 = 323,416.20 : x
  2. Step 2: Convert to fraction form
    411,889.80/617,834.70 = 323,416.20/x
  3. Step 3: Cross multiply
    411,889.80x = 617,834.70 × 323,416.20
  4. Step 4: Simplify right side
    411,889.80x = 199,817,750,902.14
  5. Step 5: Solve for x
    x = 199,817,750,902.14/411,889.80
  6. Step 6: Final answer
    x = 485,124.30

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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.