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Finding the Fourth Proportional to 501,286.73, 752,102.21 and 146,352.83

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Solution

The fourth proportional to 501,286.73, 752,102.21 and 146,352.83 is: 219,579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,286.73 : 752,102.21 = 146,352.83 : x
  2. Step 2: Convert to fraction form
    501,286.73/752,102.21 = 146,352.83/x
  3. Step 3: Cross multiply
    501,286.73x = 752,102.21 × 146,352.83
  4. Step 4: Simplify right side
    501,286.73x = 110,072,283,488.13
  5. Step 5: Solve for x
    x = 110,072,283,488.13/501,286.73
  6. Step 6: Final answer
    x = 219,579.49

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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.