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Finding the Fourth Proportional to 463,996.94, 696,098.97 and 148,472.78

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Solution

The fourth proportional to 463,996.94, 696,098.97 and 148,472.78 is: 222,742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,996.94 : 696,098.97 = 148,472.78 : x
  2. Step 2: Convert to fraction form
    463,996.94/696,098.97 = 148,472.78/x
  3. Step 3: Cross multiply
    463,996.94x = 696,098.97 × 148,472.78
  4. Step 4: Simplify right side
    463,996.94x = 103,351,749,231.04
  5. Step 5: Solve for x
    x = 103,351,749,231.04/463,996.94
  6. Step 6: Final answer
    x = 222,742.31

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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.