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Finding the Fourth Proportional to 306,224.06, 422,598.96 and 170,263.73

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Solution

The fourth proportional to 306,224.06, 422,598.96 and 170,263.73 is: 234,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,224.06 : 422,598.96 = 170,263.73 : x
  2. Step 2: Convert to fraction form
    306,224.06/422,598.96 = 170,263.73/x
  3. Step 3: Cross multiply
    306,224.06x = 422,598.96 × 170,263.73
  4. Step 4: Simplify right side
    306,224.06x = 71,953,276,280.22
  5. Step 5: Solve for x
    x = 71,953,276,280.22/306,224.06
  6. Step 6: Final answer
    x = 234,969.38

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Why These Related Problems?

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