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Finding the Fourth Proportional to 305,285.71, 421,287.99 and 169,297.72

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Solution

The fourth proportional to 305,285.71, 421,287.99 and 169,297.72 is: 233,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,285.71 : 421,287.99 = 169,297.72 : x
  2. Step 2: Convert to fraction form
    305,285.71/421,287.99 = 169,297.72/x
  3. Step 3: Cross multiply
    305,285.71x = 421,287.99 × 169,297.72
  4. Step 4: Simplify right side
    305,285.71x = 71,323,096,170.38
  5. Step 5: Solve for x
    x = 71,323,096,170.38/305,285.71
  6. Step 6: Final answer
    x = 233,627.37

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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.