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Finding the Fourth Proportional to 411,975.60, 617,963.40 and 162,625.20

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Solution

The fourth proportional to 411,975.60, 617,963.40 and 162,625.20 is: 243,937.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,975.60 : 617,963.40 = 162,625.20 : x
  2. Step 2: Convert to fraction form
    411,975.60/617,963.40 = 162,625.20/x
  3. Step 3: Cross multiply
    411,975.60x = 617,963.40 × 162,625.20
  4. Step 4: Simplify right side
    411,975.60x = 100,496,421,517.68
  5. Step 5: Solve for x
    x = 100,496,421,517.68/411,975.60
  6. Step 6: Final answer
    x = 243,937.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.