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Finding the Fourth Proportional to 411,369.64, 617,015.58 and 130,837.48

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Solution

The fourth proportional to 411,369.64, 617,015.58 and 130,837.48 is: 196,243.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,369.64 : 617,015.58 = 130,837.48 : x
  2. Step 2: Convert to fraction form
    411,369.64/617,015.58 = 130,837.48/x
  3. Step 3: Cross multiply
    411,369.64x = 617,015.58 × 130,837.48
  4. Step 4: Simplify right side
    411,369.64x = 80,728,763,607.94
  5. Step 5: Solve for x
    x = 80,728,763,607.94/411,369.64
  6. Step 6: Final answer
    x = 196,243.85

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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.