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Finding the Fourth Proportional to 399,809.66, 599,345.44 and 199,956.14

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Solution

The fourth proportional to 399,809.66, 599,345.44 and 199,956.14 is: 299,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,809.66 : 599,345.44 = 199,956.14 : x
  2. Step 2: Convert to fraction form
    399,809.66/599,345.44 = 199,956.14/x
  3. Step 3: Cross multiply
    399,809.66x = 599,345.44 × 199,956.14
  4. Step 4: Simplify right side
    399,809.66x = 119,842,797,212.38
  5. Step 5: Solve for x
    x = 119,842,797,212.38/399,809.66
  6. Step 6: Final answer
    x = 299,749.63

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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.