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Finding the Fourth Proportional to 170,946.72, 256,410.36 and 46,278

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Solution

The fourth proportional to 170,946.72, 256,410.36 and 46,278 is: 69,414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,946.72 : 256,410.36 = 46,278 : x
  2. Step 2: Convert to fraction form
    170,946.72/256,410.36 = 46,278/x
  3. Step 3: Cross multiply
    170,946.72x = 256,410.36 × 46,278
  4. Step 4: Simplify right side
    170,946.72x = 11,866,158,640.08
  5. Step 5: Solve for x
    x = 11,866,158,640.08/170,946.72
  6. Step 6: Final answer
    x = 69,414.37

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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.