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Finding the Fourth Proportional to 411,732.20, 617,627.10 and 162,381.80

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Solution

The fourth proportional to 411,732.20, 617,627.10 and 162,381.80 is: 243,584.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,732.20 : 617,627.10 = 162,381.80 : x
  2. Step 2: Convert to fraction form
    411,732.20/617,627.10 = 162,381.80/x
  3. Step 3: Cross multiply
    411,732.20x = 617,627.10 × 162,381.80
  4. Step 4: Simplify right side
    411,732.20x = 100,291,400,226.78
  5. Step 5: Solve for x
    x = 100,291,400,226.78/411,732.20
  6. Step 6: Final answer
    x = 243,584.06

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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.