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Finding the Fourth Proportional to 301,760.10, 416,422.24 and 163,935.46

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Solution

The fourth proportional to 301,760.10, 416,422.24 and 163,935.46 is: 226,227.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,760.10 : 416,422.24 = 163,935.46 : x
  2. Step 2: Convert to fraction form
    301,760.10/416,422.24 = 163,935.46/x
  3. Step 3: Cross multiply
    301,760.10x = 416,422.24 × 163,935.46
  4. Step 4: Simplify right side
    301,760.10x = 68,266,370,017.74
  5. Step 5: Solve for x
    x = 68,266,370,017.74/301,760.10
  6. Step 6: Final answer
    x = 226,227.29

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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.