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Finding the Fourth Proportional to 411,948.20, 617,144.70 and 211,586.60

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Solution

The fourth proportional to 411,948.20, 617,144.70 and 211,586.60 is: 316,980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,948.20 : 617,144.70 = 211,586.60 : x
  2. Step 2: Convert to fraction form
    411,948.20/617,144.70 = 211,586.60/x
  3. Step 3: Cross multiply
    411,948.20x = 617,144.70 × 211,586.60
  4. Step 4: Simplify right side
    411,948.20x = 130,579,548,781.02
  5. Step 5: Solve for x
    x = 130,579,548,781.02/411,948.20
  6. Step 6: Final answer
    x = 316,980.51

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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.