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Finding the Fourth Proportional to 343,270.80, 514,944.60 and 106,611.60

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Solution

The fourth proportional to 343,270.80, 514,944.60 and 106,611.60 is: 159,929.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,270.80 : 514,944.60 = 106,611.60 : x
  2. Step 2: Convert to fraction form
    343,270.80/514,944.60 = 106,611.60/x
  3. Step 3: Cross multiply
    343,270.80x = 514,944.60 × 106,611.60
  4. Step 4: Simplify right side
    343,270.80x = 54,899,067,717.36
  5. Step 5: Solve for x
    x = 54,899,067,717.36/343,270.80
  6. Step 6: Final answer
    x = 159,929.33

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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.