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Finding the Fourth Proportional to 411,369.14, 617,014.83 and 130,836.98

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Solution

The fourth proportional to 411,369.14, 617,014.83 and 130,836.98 is: 196,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,369.14 : 617,014.83 = 130,836.98 : x
  2. Step 2: Convert to fraction form
    411,369.14/617,014.83 = 130,836.98/x
  3. Step 3: Cross multiply
    411,369.14x = 617,014.83 × 130,836.98
  4. Step 4: Simplify right side
    411,369.14x = 80,728,356,972.41
  5. Step 5: Solve for x
    x = 80,728,356,972.41/411,369.14
  6. Step 6: Final answer
    x = 196,243.10

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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.