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Finding the Fourth Proportional to 296,214.44, 408,774.23 and 160,247.98

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Solution

The fourth proportional to 296,214.44, 408,774.23 and 160,247.98 is: 221,141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,214.44 : 408,774.23 = 160,247.98 : x
  2. Step 2: Convert to fraction form
    296,214.44/408,774.23 = 160,247.98/x
  3. Step 3: Cross multiply
    296,214.44x = 408,774.23 × 160,247.98
  4. Step 4: Simplify right side
    296,214.44x = 65,505,244,944.21
  5. Step 5: Solve for x
    x = 65,505,244,944.21/296,214.44
  6. Step 6: Final answer
    x = 221,141.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.