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Finding the Fourth Proportional to 294,311.38, 406,137.74 and 166,984.24

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Solution

The fourth proportional to 294,311.38, 406,137.74 and 166,984.24 is: 230,431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,311.38 : 406,137.74 = 166,984.24 : x
  2. Step 2: Convert to fraction form
    294,311.38/406,137.74 = 166,984.24/x
  3. Step 3: Cross multiply
    294,311.38x = 406,137.74 × 166,984.24
  4. Step 4: Simplify right side
    294,311.38x = 67,818,601,849.22
  5. Step 5: Solve for x
    x = 67,818,601,849.22/294,311.38
  6. Step 6: Final answer
    x = 230,431.46

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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.