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Finding the Fourth Proportional to 498,928.73, 748,866.24 and 308,814.02

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Solution

The fourth proportional to 498,928.73, 748,866.24 and 308,814.02 is: 463,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,928.73 : 748,866.24 = 308,814.02 : x
  2. Step 2: Convert to fraction form
    498,928.73/748,866.24 = 308,814.02/x
  3. Step 3: Cross multiply
    498,928.73x = 748,866.24 × 308,814.02
  4. Step 4: Simplify right side
    498,928.73x = 231,260,394,016.69
  5. Step 5: Solve for x
    x = 231,260,394,016.69/498,928.73
  6. Step 6: Final answer
    x = 463,513.89

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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.