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Finding the Fourth Proportional to 446,039.45, 669,129.14 and 146,451.84

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Solution

The fourth proportional to 446,039.45, 669,129.14 and 146,451.84 is: 219,700.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,039.45 : 669,129.14 = 146,451.84 : x
  2. Step 2: Convert to fraction form
    446,039.45/669,129.14 = 146,451.84/x
  3. Step 3: Cross multiply
    446,039.45x = 669,129.14 × 146,451.84
  4. Step 4: Simplify right side
    446,039.45x = 97,995,193,750.62
  5. Step 5: Solve for x
    x = 97,995,193,750.62/446,039.45
  6. Step 6: Final answer
    x = 219,700.73

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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.