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Finding the Fourth Proportional to 411,683.10, 617,440.68 and 145,452.30

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Solution

The fourth proportional to 411,683.10, 617,440.68 and 145,452.30 is: 218,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,683.10 : 617,440.68 = 145,452.30 : x
  2. Step 2: Convert to fraction form
    411,683.10/617,440.68 = 145,452.30/x
  3. Step 3: Cross multiply
    411,683.10x = 617,440.68 × 145,452.30
  4. Step 4: Simplify right side
    411,683.10x = 89,808,167,019.56
  5. Step 5: Solve for x
    x = 89,808,167,019.56/411,683.10
  6. Step 6: Final answer
    x = 218,148.78

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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.