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Finding the Fourth Proportional to 298,621.13, 412,097.18 and 164,485.13

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Solution

The fourth proportional to 298,621.13, 412,097.18 and 164,485.13 is: 226,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,621.13 : 412,097.18 = 164,485.13 : x
  2. Step 2: Convert to fraction form
    298,621.13/412,097.18 = 164,485.13/x
  3. Step 3: Cross multiply
    298,621.13x = 412,097.18 × 164,485.13
  4. Step 4: Simplify right side
    298,621.13x = 67,783,855,342.02
  5. Step 5: Solve for x
    x = 67,783,855,342.02/298,621.13
  6. Step 6: Final answer
    x = 226,989.48

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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.