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Finding the Fourth Proportional to 599,342.82, 898,713.27 and 199,842.18

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Solution

The fourth proportional to 599,342.82, 898,713.27 and 199,842.18 is: 299,662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,342.82 : 898,713.27 = 199,842.18 : x
  2. Step 2: Convert to fraction form
    599,342.82/898,713.27 = 199,842.18/x
  3. Step 3: Cross multiply
    599,342.82x = 898,713.27 × 199,842.18
  4. Step 4: Simplify right side
    599,342.82x = 179,600,819,071.73
  5. Step 5: Solve for x
    x = 179,600,819,071.73/599,342.82
  6. Step 6: Final answer
    x = 299,662.92

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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.