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Finding the Fourth Proportional to 411,857.80, 617,729.10 and 131,403.40

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Solution

The fourth proportional to 411,857.80, 617,729.10 and 131,403.40 is: 197,086.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,857.80 : 617,729.10 = 131,403.40 : x
  2. Step 2: Convert to fraction form
    411,857.80/617,729.10 = 131,403.40/x
  3. Step 3: Cross multiply
    411,857.80x = 617,729.10 × 131,403.40
  4. Step 4: Simplify right side
    411,857.80x = 81,171,704,018.94
  5. Step 5: Solve for x
    x = 81,171,704,018.94/411,857.80
  6. Step 6: Final answer
    x = 197,086.72

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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.