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Finding the Fourth Proportional to 296,045.87, 408,519.75 and 166,942.94

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Solution

The fourth proportional to 296,045.87, 408,519.75 and 166,942.94 is: 230,367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,045.87 : 408,519.75 = 166,942.94 : x
  2. Step 2: Convert to fraction form
    296,045.87/408,519.75 = 166,942.94/x
  3. Step 3: Cross multiply
    296,045.87x = 408,519.75 × 166,942.94
  4. Step 4: Simplify right side
    296,045.87x = 68,199,487,270.98
  5. Step 5: Solve for x
    x = 68,199,487,270.98/296,045.87
  6. Step 6: Final answer
    x = 230,367.97

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1.5x scale

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.