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Finding the Fourth Proportional to 294,785.22, 406,814.49 and 167,482.38

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Solution

The fourth proportional to 294,785.22, 406,814.49 and 167,482.38 is: 231,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,785.22 : 406,814.49 = 167,482.38 : x
  2. Step 2: Convert to fraction form
    294,785.22/406,814.49 = 167,482.38/x
  3. Step 3: Cross multiply
    294,785.22x = 406,814.49 × 167,482.38
  4. Step 4: Simplify right side
    294,785.22x = 68,134,259,003.69
  5. Step 5: Solve for x
    x = 68,134,259,003.69/294,785.22
  6. Step 6: Final answer
    x = 231,131.87

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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.