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Finding the Fourth Proportional to 364,872.24, 546,936 and 206,766.72

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Solution

The fourth proportional to 364,872.24, 546,936 and 206,766.72 is: 309,939.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,872.24 : 546,936 = 206,766.72 : x
  2. Step 2: Convert to fraction form
    364,872.24/546,936 = 206,766.72/x
  3. Step 3: Cross multiply
    364,872.24x = 546,936 × 206,766.72
  4. Step 4: Simplify right side
    364,872.24x = 113,088,162,769.92
  5. Step 5: Solve for x
    x = 113,088,162,769.92/364,872.24
  6. Step 6: Final answer
    x = 309,939.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.