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Finding the Fourth Proportional to 342,785.44, 514,127.52 and 200,696.32

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Solution

The fourth proportional to 342,785.44, 514,127.52 and 200,696.32 is: 301,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,785.44 : 514,127.52 = 200,696.32 : x
  2. Step 2: Convert to fraction form
    342,785.44/514,127.52 = 200,696.32/x
  3. Step 3: Cross multiply
    342,785.44x = 514,127.52 × 200,696.32
  4. Step 4: Simplify right side
    342,785.44x = 103,183,501,274.73
  5. Step 5: Solve for x
    x = 103,183,501,274.73/342,785.44
  6. Step 6: Final answer
    x = 301,014.83

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Why These Related Problems?

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