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Finding the Fourth Proportional to 362,505.73, 500,177.38 and 219,262.70

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Solution

The fourth proportional to 362,505.73, 500,177.38 and 219,262.70 is: 302,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,505.73 : 500,177.38 = 219,262.70 : x
  2. Step 2: Convert to fraction form
    362,505.73/500,177.38 = 219,262.70/x
  3. Step 3: Cross multiply
    362,505.73x = 500,177.38 × 219,262.70
  4. Step 4: Simplify right side
    362,505.73x = 109,670,239,220.53
  5. Step 5: Solve for x
    x = 109,670,239,220.53/362,505.73
  6. Step 6: Final answer
    x = 302,533.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.