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Finding the Fourth Proportional to 446,451.64, 669,774.44 and 146,962.64

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Solution

The fourth proportional to 446,451.64, 669,774.44 and 146,962.64 is: 220,475.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,451.64 : 669,774.44 = 146,962.64 : x
  2. Step 2: Convert to fraction form
    446,451.64/669,774.44 = 146,962.64/x
  3. Step 3: Cross multiply
    446,451.64x = 669,774.44 × 146,962.64
  4. Step 4: Simplify right side
    446,451.64x = 98,431,819,906.92
  5. Step 5: Solve for x
    x = 98,431,819,906.92/446,451.64
  6. Step 6: Final answer
    x = 220,475.88

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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.