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Finding the Fourth Proportional to 354,469.34, 531,490.16 and 141,270.06

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Solution

The fourth proportional to 354,469.34, 531,490.16 and 141,270.06 is: 211,819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,469.34 : 531,490.16 = 141,270.06 : x
  2. Step 2: Convert to fraction form
    354,469.34/531,490.16 = 141,270.06/x
  3. Step 3: Cross multiply
    354,469.34x = 531,490.16 × 141,270.06
  4. Step 4: Simplify right side
    354,469.34x = 75,083,646,792.61
  5. Step 5: Solve for x
    x = 75,083,646,792.61/354,469.34
  6. Step 6: Final answer
    x = 211,819.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.