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Finding the Fourth Proportional to 367,814, 548,502.27 and 364,450.82

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Solution

The fourth proportional to 367,814, 548,502.27 and 364,450.82 is: 543,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,814 : 548,502.27 = 364,450.82 : x
  2. Step 2: Convert to fraction form
    367,814/548,502.27 = 364,450.82/x
  3. Step 3: Cross multiply
    367,814x = 548,502.27 × 364,450.82
  4. Step 4: Simplify right side
    367,814x = 199,902,100,251.11
  5. Step 5: Solve for x
    x = 199,902,100,251.11/367,814
  6. Step 6: Final answer
    x = 543,486.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.