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Finding the Fourth Proportional to 451,502.46, 677,198.34 and 262,066.02

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Solution

The fourth proportional to 451,502.46, 677,198.34 and 262,066.02 is: 393,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,502.46 : 677,198.34 = 262,066.02 : x
  2. Step 2: Convert to fraction form
    451,502.46/677,198.34 = 262,066.02/x
  3. Step 3: Cross multiply
    451,502.46x = 677,198.34 × 262,066.02
  4. Step 4: Simplify right side
    451,502.46x = 177,470,673,714.41
  5. Step 5: Solve for x
    x = 177,470,673,714.41/451,502.46
  6. Step 6: Final answer
    x = 393,066.90

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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.