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Finding the Fourth Proportional to 366,748.32, 505,992.96 and 213,751.44

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Solution

The fourth proportional to 366,748.32, 505,992.96 and 213,751.44 is: 294,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,748.32 : 505,992.96 = 213,751.44 : x
  2. Step 2: Convert to fraction form
    366,748.32/505,992.96 = 213,751.44/x
  3. Step 3: Cross multiply
    366,748.32x = 505,992.96 × 213,751.44
  4. Step 4: Simplify right side
    366,748.32x = 108,156,723,829.86
  5. Step 5: Solve for x
    x = 108,156,723,829.86/366,748.32
  6. Step 6: Final answer
    x = 294,907.21

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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.