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Finding the Fourth Proportional to 451,677.72, 677,301.96 and 262,196.18

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Solution

The fourth proportional to 451,677.72, 677,301.96 and 262,196.18 is: 393,169.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,677.72 : 677,301.96 = 262,196.18 : x
  2. Step 2: Convert to fraction form
    451,677.72/677,301.96 = 262,196.18/x
  3. Step 3: Cross multiply
    451,677.72x = 677,301.96 × 262,196.18
  4. Step 4: Simplify right side
    451,677.72x = 177,585,983,232.00
  5. Step 5: Solve for x
    x = 177,585,983,232.00/451,677.72
  6. Step 6: Final answer
    x = 393,169.68

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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.