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Finding the Fourth Proportional to 213,490.44, 320,235.24 and 200,499.66

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Solution

The fourth proportional to 213,490.44, 320,235.24 and 200,499.66 is: 300,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,490.44 : 320,235.24 = 200,499.66 : x
  2. Step 2: Convert to fraction form
    213,490.44/320,235.24 = 200,499.66/x
  3. Step 3: Cross multiply
    213,490.44x = 320,235.24 × 200,499.66
  4. Step 4: Simplify right side
    213,490.44x = 64,207,056,740.02
  5. Step 5: Solve for x
    x = 64,207,056,740.02/213,490.44
  6. Step 6: Final answer
    x = 300,749.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.