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Finding the Fourth Proportional to 367,665.13, 507,299.17 and 214,633.87

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Solution

The fourth proportional to 367,665.13, 507,299.17 and 214,633.87 is: 296,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,665.13 : 507,299.17 = 214,633.87 : x
  2. Step 2: Convert to fraction form
    367,665.13/507,299.17 = 214,633.87/x
  3. Step 3: Cross multiply
    367,665.13x = 507,299.17 × 214,633.87
  4. Step 4: Simplify right side
    367,665.13x = 108,883,584,104.89
  5. Step 5: Solve for x
    x = 108,883,584,104.89/367,665.13
  6. Step 6: Final answer
    x = 296,148.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.