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Finding the Fourth Proportional to 335,369.83, 462,657.70 and 199,326.47

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Solution

The fourth proportional to 335,369.83, 462,657.70 and 199,326.47 is: 274,979.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,369.83 : 462,657.70 = 199,326.47 : x
  2. Step 2: Convert to fraction form
    335,369.83/462,657.70 = 199,326.47/x
  3. Step 3: Cross multiply
    335,369.83x = 462,657.70 × 199,326.47
  4. Step 4: Simplify right side
    335,369.83x = 92,219,926,697.64
  5. Step 5: Solve for x
    x = 92,219,926,697.64/335,369.83
  6. Step 6: Final answer
    x = 274,979.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.