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Finding the Fourth Proportional to 365,184.08, 503,907.72 and 214,226

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Solution

The fourth proportional to 365,184.08, 503,907.72 and 214,226 is: 295,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,184.08 : 503,907.72 = 214,226 : x
  2. Step 2: Convert to fraction form
    365,184.08/503,907.72 = 214,226/x
  3. Step 3: Cross multiply
    365,184.08x = 503,907.72 × 214,226
  4. Step 4: Simplify right side
    365,184.08x = 107,950,135,224.72
  5. Step 5: Solve for x
    x = 107,950,135,224.72/365,184.08
  6. Step 6: Final answer
    x = 295,604.71

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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.