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Finding the Fourth Proportional to 411,571.55, 617,668.37 and 175,080.71

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Solution

The fourth proportional to 411,571.55, 617,668.37 and 175,080.71 is: 262,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,571.55 : 617,668.37 = 175,080.71 : x
  2. Step 2: Convert to fraction form
    411,571.55/617,668.37 = 175,080.71/x
  3. Step 3: Cross multiply
    411,571.55x = 617,668.37 × 175,080.71
  4. Step 4: Simplify right side
    411,571.55x = 108,141,816,764.14
  5. Step 5: Solve for x
    x = 108,141,816,764.14/411,571.55
  6. Step 6: Final answer
    x = 262,753.38

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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.