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Finding the Fourth Proportional to 340,906.13, 511,433.00 and 130,544.06

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Solution

The fourth proportional to 340,906.13, 511,433.00 and 130,544.06 is: 195,844.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,906.13 : 511,433.00 = 130,544.06 : x
  2. Step 2: Convert to fraction form
    340,906.13/511,433.00 = 130,544.06/x
  3. Step 3: Cross multiply
    340,906.13x = 511,433.00 × 130,544.06
  4. Step 4: Simplify right side
    340,906.13x = 66,764,541,842.92
  5. Step 5: Solve for x
    x = 66,764,541,842.92/340,906.13
  6. Step 6: Final answer
    x = 195,844.36

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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.