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Finding the Fourth Proportional to 296,284.93, 408,872.37 and 160,321.19

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Solution

The fourth proportional to 296,284.93, 408,872.37 and 160,321.19 is: 221,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,284.93 : 408,872.37 = 160,321.19 : x
  2. Step 2: Convert to fraction form
    296,284.93/408,872.37 = 160,321.19/x
  3. Step 3: Cross multiply
    296,284.93x = 408,872.37 × 160,321.19
  4. Step 4: Simplify right side
    296,284.93x = 65,550,904,916.52
  5. Step 5: Solve for x
    x = 65,550,904,916.52/296,284.93
  6. Step 6: Final answer
    x = 221,242.79

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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.