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Finding the Fourth Proportional to 411,362.55, 617,121.18 and 186,738.75

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Solution

The fourth proportional to 411,362.55, 617,121.18 and 186,738.75 is: 280,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,362.55 : 617,121.18 = 186,738.75 : x
  2. Step 2: Convert to fraction form
    411,362.55/617,121.18 = 186,738.75/x
  3. Step 3: Cross multiply
    411,362.55x = 617,121.18 × 186,738.75
  4. Step 4: Simplify right side
    411,362.55x = 115,240,437,751.73
  5. Step 5: Solve for x
    x = 115,240,437,751.73/411,362.55
  6. Step 6: Final answer
    x = 280,143.24

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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.