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Finding the Fourth Proportional to 296,311.29, 408,906.46 and 160,342.26

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Solution

The fourth proportional to 296,311.29, 408,906.46 and 160,342.26 is: 221,270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,311.29 : 408,906.46 = 160,342.26 : x
  2. Step 2: Convert to fraction form
    296,311.29/408,906.46 = 160,342.26/x
  3. Step 3: Cross multiply
    296,311.29x = 408,906.46 × 160,342.26
  4. Step 4: Simplify right side
    296,311.29x = 65,564,985,925.00
  5. Step 5: Solve for x
    x = 65,564,985,925.00/296,311.29
  6. Step 6: Final answer
    x = 221,270.63

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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.