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Finding the Fourth Proportional to 463,997.94, 696,100.47 and 148,473.78

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Solution

The fourth proportional to 463,997.94, 696,100.47 and 148,473.78 is: 222,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,997.94 : 696,100.47 = 148,473.78 : x
  2. Step 2: Convert to fraction form
    463,997.94/696,100.47 = 148,473.78/x
  3. Step 3: Cross multiply
    463,997.94x = 696,100.47 × 148,473.78
  4. Step 4: Simplify right side
    463,997.94x = 103,352,668,040.68
  5. Step 5: Solve for x
    x = 103,352,668,040.68/463,997.94
  6. Step 6: Final answer
    x = 222,743.81

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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.