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Finding the Fourth Proportional to 367,143.91, 550,873.71 and 198,784.53

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Solution

The fourth proportional to 367,143.91, 550,873.71 and 198,784.53 is: 298,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,143.91 : 550,873.71 = 198,784.53 : x
  2. Step 2: Convert to fraction form
    367,143.91/550,873.71 = 198,784.53/x
  3. Step 3: Cross multiply
    367,143.91x = 550,873.71 × 198,784.53
  4. Step 4: Simplify right side
    367,143.91x = 109,505,171,531.71
  5. Step 5: Solve for x
    x = 109,505,171,531.71/367,143.91
  6. Step 6: Final answer
    x = 298,262.26

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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.