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Finding the Fourth Proportional to 476,872.96, 715,198.47 and 177,494.53

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Solution

The fourth proportional to 476,872.96, 715,198.47 and 177,494.53 is: 266,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,872.96 : 715,198.47 = 177,494.53 : x
  2. Step 2: Convert to fraction form
    476,872.96/715,198.47 = 177,494.53/x
  3. Step 3: Cross multiply
    476,872.96x = 715,198.47 × 177,494.53
  4. Step 4: Simplify right side
    476,872.96x = 126,943,816,289.37
  5. Step 5: Solve for x
    x = 126,943,816,289.37/476,872.96
  6. Step 6: Final answer
    x = 266,200.49

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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.