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Finding the Fourth Proportional to 298,621.25, 412,097.33 and 164,485.25

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Solution

The fourth proportional to 298,621.25, 412,097.33 and 164,485.25 is: 226,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,621.25 : 412,097.33 = 164,485.25 : x
  2. Step 2: Convert to fraction form
    298,621.25/412,097.33 = 164,485.25/x
  3. Step 3: Cross multiply
    298,621.25x = 412,097.33 × 164,485.25
  4. Step 4: Simplify right side
    298,621.25x = 67,783,931,526.96
  5. Step 5: Solve for x
    x = 67,783,931,526.96/298,621.25
  6. Step 6: Final answer
    x = 226,989.65

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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.