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Finding the Fourth Proportional to 464,759.69, 696,991.92 and 149,142.79

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Solution

The fourth proportional to 464,759.69, 696,991.92 and 149,142.79 is: 223,666.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,759.69 : 696,991.92 = 149,142.79 : x
  2. Step 2: Convert to fraction form
    464,759.69/696,991.92 = 149,142.79/x
  3. Step 3: Cross multiply
    464,759.69x = 696,991.92 × 149,142.79
  4. Step 4: Simplify right side
    464,759.69x = 103,951,317,440.92
  5. Step 5: Solve for x
    x = 103,951,317,440.92/464,759.69
  6. Step 6: Final answer
    x = 223,666.81

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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.