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Finding the Fourth Proportional to 300,292.72, 414,397.55 and 164,326.12

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Solution

The fourth proportional to 300,292.72, 414,397.55 and 164,326.12 is: 226,766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,292.72 : 414,397.55 = 164,326.12 : x
  2. Step 2: Convert to fraction form
    300,292.72/414,397.55 = 164,326.12/x
  3. Step 3: Cross multiply
    300,292.72x = 414,397.55 × 164,326.12
  4. Step 4: Simplify right side
    300,292.72x = 68,096,341,529.01
  5. Step 5: Solve for x
    x = 68,096,341,529.01/300,292.72
  6. Step 6: Final answer
    x = 226,766.54

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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.