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Finding the Fourth Proportional to 298,616.10, 412,090.14 and 164,480.10

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Solution

The fourth proportional to 298,616.10, 412,090.14 and 164,480.10 is: 226,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,616.10 : 412,090.14 = 164,480.10 : x
  2. Step 2: Convert to fraction form
    298,616.10/412,090.14 = 164,480.10/x
  3. Step 3: Cross multiply
    298,616.10x = 412,090.14 × 164,480.10
  4. Step 4: Simplify right side
    298,616.10x = 67,780,627,436.21
  5. Step 5: Solve for x
    x = 67,780,627,436.21/298,616.10
  6. Step 6: Final answer
    x = 226,982.50

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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.