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Finding the Fourth Proportional to 298,606.26, 412,076.63 and 164,470.26

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Solution

The fourth proportional to 298,606.26, 412,076.63 and 164,470.26 is: 226,968.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,606.26 : 412,076.63 = 164,470.26 : x
  2. Step 2: Convert to fraction form
    298,606.26/412,076.63 = 164,470.26/x
  3. Step 3: Cross multiply
    298,606.26x = 412,076.63 × 164,470.26
  4. Step 4: Simplify right side
    298,606.26x = 67,774,350,476.02
  5. Step 5: Solve for x
    x = 67,774,350,476.02/298,606.26
  6. Step 6: Final answer
    x = 226,968.95

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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.