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Finding the Fourth Proportional to 411,762.20, 617,672.10 and 162,411.80

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Solution

The fourth proportional to 411,762.20, 617,672.10 and 162,411.80 is: 243,629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,762.20 : 617,672.10 = 162,411.80 : x
  2. Step 2: Convert to fraction form
    411,762.20/617,672.10 = 162,411.80/x
  3. Step 3: Cross multiply
    411,762.20x = 617,672.10 × 162,411.80
  4. Step 4: Simplify right side
    411,762.20x = 100,317,237,570.78
  5. Step 5: Solve for x
    x = 100,317,237,570.78/411,762.20
  6. Step 6: Final answer
    x = 243,629.06

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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.