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Finding the Fourth Proportional to 447,144.48, 670,722.12 and 177,338.88

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Solution

The fourth proportional to 447,144.48, 670,722.12 and 177,338.88 is: 266,010.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,144.48 : 670,722.12 = 177,338.88 : x
  2. Step 2: Convert to fraction form
    447,144.48/670,722.12 = 177,338.88/x
  3. Step 3: Cross multiply
    447,144.48x = 670,722.12 × 177,338.88
  4. Step 4: Simplify right side
    447,144.48x = 118,945,109,552.03
  5. Step 5: Solve for x
    x = 118,945,109,552.03/447,144.48
  6. Step 6: Final answer
    x = 266,010.46

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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.