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Finding the Fourth Proportional to 467,167.66, 700,204.86 and 214,472.57

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Solution

The fourth proportional to 467,167.66, 700,204.86 and 214,472.57 is: 321,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,167.66 : 700,204.86 = 214,472.57 : x
  2. Step 2: Convert to fraction form
    467,167.66/700,204.86 = 214,472.57/x
  3. Step 3: Cross multiply
    467,167.66x = 700,204.86 × 214,472.57
  4. Step 4: Simplify right side
    467,167.66x = 150,174,735,850.69
  5. Step 5: Solve for x
    x = 150,174,735,850.69/467,167.66
  6. Step 6: Final answer
    x = 321,457.90

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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.