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Finding the Fourth Proportional to 411,716.80, 617,632.80 and 175,057.60

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Solution

The fourth proportional to 411,716.80, 617,632.80 and 175,057.60 is: 262,610.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,716.80 : 617,632.80 = 175,057.60 : x
  2. Step 2: Convert to fraction form
    411,716.80/617,632.80 = 175,057.60/x
  3. Step 3: Cross multiply
    411,716.80x = 617,632.80 × 175,057.60
  4. Step 4: Simplify right side
    411,716.80x = 108,121,315,649.28
  5. Step 5: Solve for x
    x = 108,121,315,649.28/411,716.80
  6. Step 6: Final answer
    x = 262,610.89

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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.