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Finding the Fourth Proportional to 411,773.80, 617,199.90 and 175,076.20

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Solution

The fourth proportional to 411,773.80, 617,199.90 and 175,076.20 is: 262,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,773.80 : 617,199.90 = 175,076.20 : x
  2. Step 2: Convert to fraction form
    411,773.80/617,199.90 = 175,076.20/x
  3. Step 3: Cross multiply
    411,773.80x = 617,199.90 × 175,076.20
  4. Step 4: Simplify right side
    411,773.80x = 108,057,013,132.38
  5. Step 5: Solve for x
    x = 108,057,013,132.38/411,773.80
  6. Step 6: Final answer
    x = 262,418.38

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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.