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Finding the Fourth Proportional to 511,571.73, 767,226.65 and 151,658.41

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Solution

The fourth proportional to 511,571.73, 767,226.65 and 151,658.41 is: 227,448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,571.73 : 767,226.65 = 151,658.41 : x
  2. Step 2: Convert to fraction form
    511,571.73/767,226.65 = 151,658.41/x
  3. Step 3: Cross multiply
    511,571.73x = 767,226.65 × 151,658.41
  4. Step 4: Simplify right side
    511,571.73x = 116,356,377,073.85
  5. Step 5: Solve for x
    x = 116,356,377,073.85/511,571.73
  6. Step 6: Final answer
    x = 227,448.80

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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.