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Finding the Fourth Proportional to 362,097.72, 499,367.76 and 226,144.08

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Solution

The fourth proportional to 362,097.72, 499,367.76 and 226,144.08 is: 311,874.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,097.72 : 499,367.76 = 226,144.08 : x
  2. Step 2: Convert to fraction form
    362,097.72/499,367.76 = 226,144.08/x
  3. Step 3: Cross multiply
    362,097.72x = 499,367.76 × 226,144.08
  4. Step 4: Simplify right side
    362,097.72x = 112,929,062,666.86
  5. Step 5: Solve for x
    x = 112,929,062,666.86/362,097.72
  6. Step 6: Final answer
    x = 311,874.55

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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.