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Finding the Fourth Proportional to 463,998.94, 696,101.97 and 148,474.78

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Solution

The fourth proportional to 463,998.94, 696,101.97 and 148,474.78 is: 222,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,998.94 : 696,101.97 = 148,474.78 : x
  2. Step 2: Convert to fraction form
    463,998.94/696,101.97 = 148,474.78/x
  3. Step 3: Cross multiply
    463,998.94x = 696,101.97 × 148,474.78
  4. Step 4: Simplify right side
    463,998.94x = 103,353,586,853.32
  5. Step 5: Solve for x
    x = 103,353,586,853.32/463,998.94
  6. Step 6: Final answer
    x = 222,745.31

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1.5x scale

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.