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Finding the Fourth Proportional to 294,310.38, 406,136.36 and 166,983.24

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Solution

The fourth proportional to 294,310.38, 406,136.36 and 166,983.24 is: 230,430.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,310.38 : 406,136.36 = 166,983.24 : x
  2. Step 2: Convert to fraction form
    294,310.38/406,136.36 = 166,983.24/x
  3. Step 3: Cross multiply
    294,310.38x = 406,136.36 × 166,983.24
  4. Step 4: Simplify right side
    294,310.38x = 67,817,965,274.61
  5. Step 5: Solve for x
    x = 67,817,965,274.61/294,310.38
  6. Step 6: Final answer
    x = 230,430.08

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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.