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Finding the Fourth Proportional to 446,997.96, 670,354.56 and 147,422.52

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Solution

The fourth proportional to 446,997.96, 670,354.56 and 147,422.52 is: 221,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,997.96 : 670,354.56 = 147,422.52 : x
  2. Step 2: Convert to fraction form
    446,997.96/670,354.56 = 147,422.52/x
  3. Step 3: Cross multiply
    446,997.96x = 670,354.56 × 147,422.52
  4. Step 4: Simplify right side
    446,997.96x = 98,825,358,528.69
  5. Step 5: Solve for x
    x = 98,825,358,528.69/446,997.96
  6. Step 6: Final answer
    x = 221,086.82

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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.