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Finding the Fourth Proportional to 543,309.76, 814,970.24 and 164,233.60

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Solution

The fourth proportional to 543,309.76, 814,970.24 and 164,233.60 is: 246,352.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,309.76 : 814,970.24 = 164,233.60 : x
  2. Step 2: Convert to fraction form
    543,309.76/814,970.24 = 164,233.60/x
  3. Step 3: Cross multiply
    543,309.76x = 814,970.24 × 164,233.60
  4. Step 4: Simplify right side
    543,309.76x = 133,845,496,408.06
  5. Step 5: Solve for x
    x = 133,845,496,408.06/543,309.76
  6. Step 6: Final answer
    x = 246,352.09

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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.