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Finding the Fourth Proportional to 298,685.70, 412,186.26 and 164,549.70

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Solution

The fourth proportional to 298,685.70, 412,186.26 and 164,549.70 is: 227,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,685.70 : 412,186.26 = 164,549.70 : x
  2. Step 2: Convert to fraction form
    298,685.70/412,186.26 = 164,549.70/x
  3. Step 3: Cross multiply
    298,685.70x = 412,186.26 × 164,549.70
  4. Step 4: Simplify right side
    298,685.70x = 67,825,125,427.12
  5. Step 5: Solve for x
    x = 67,825,125,427.12/298,685.70
  6. Step 6: Final answer
    x = 227,078.58

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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.