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Finding the Fourth Proportional to 411,646.20, 617,469.30 and 201,694.20

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Solution

The fourth proportional to 411,646.20, 617,469.30 and 201,694.20 is: 302,541.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,646.20 : 617,469.30 = 201,694.20 : x
  2. Step 2: Convert to fraction form
    411,646.20/617,469.30 = 201,694.20/x
  3. Step 3: Cross multiply
    411,646.20x = 617,469.30 × 201,694.20
  4. Step 4: Simplify right side
    411,646.20x = 124,539,976,488.06
  5. Step 5: Solve for x
    x = 124,539,976,488.06/411,646.20
  6. Step 6: Final answer
    x = 302,541.30

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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.