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Finding the Fourth Proportional to 462,007.56, 693,287.82 and 199,351.56

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Solution

The fourth proportional to 462,007.56, 693,287.82 and 199,351.56 is: 299,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,007.56 : 693,287.82 = 199,351.56 : x
  2. Step 2: Convert to fraction form
    462,007.56/693,287.82 = 199,351.56/x
  3. Step 3: Cross multiply
    462,007.56x = 693,287.82 × 199,351.56
  4. Step 4: Simplify right side
    462,007.56x = 138,208,008,446.00
  5. Step 5: Solve for x
    x = 138,208,008,446.00/462,007.56
  6. Step 6: Final answer
    x = 299,146.64

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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.