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Finding the Fourth Proportional to 451,707.40, 677,129.10 and 167,321.80

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Solution

The fourth proportional to 451,707.40, 677,129.10 and 167,321.80 is: 250,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,707.40 : 677,129.10 = 167,321.80 : x
  2. Step 2: Convert to fraction form
    451,707.40/677,129.10 = 167,321.80/x
  3. Step 3: Cross multiply
    451,707.40x = 677,129.10 × 167,321.80
  4. Step 4: Simplify right side
    451,707.40x = 113,298,459,844.38
  5. Step 5: Solve for x
    x = 113,298,459,844.38/451,707.40
  6. Step 6: Final answer
    x = 250,822.68

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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.