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Finding the Fourth Proportional to 294,850.72, 406,572.44 and 199,191.32

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Solution

The fourth proportional to 294,850.72, 406,572.44 and 199,191.32 is: 274,666.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,850.72 : 406,572.44 = 199,191.32 : x
  2. Step 2: Convert to fraction form
    294,850.72/406,572.44 = 199,191.32/x
  3. Step 3: Cross multiply
    294,850.72x = 406,572.44 × 199,191.32
  4. Step 4: Simplify right side
    294,850.72x = 80,985,700,999.22
  5. Step 5: Solve for x
    x = 80,985,700,999.22/294,850.72
  6. Step 6: Final answer
    x = 274,666.79

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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.