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Finding the Fourth Proportional to 540,614.97, 746,035.52 and 298,891.32

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Solution

The fourth proportional to 540,614.97, 746,035.52 and 298,891.32 is: 412,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,614.97 : 746,035.52 = 298,891.32 : x
  2. Step 2: Convert to fraction form
    540,614.97/746,035.52 = 298,891.32/x
  3. Step 3: Cross multiply
    540,614.97x = 746,035.52 × 298,891.32
  4. Step 4: Simplify right side
    540,614.97x = 222,983,539,845.23
  5. Step 5: Solve for x
    x = 222,983,539,845.23/540,614.97
  6. Step 6: Final answer
    x = 412,462.75

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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.