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Finding the Fourth Proportional to 270,697.41, 406,782.19 and 144,426.86

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Solution

The fourth proportional to 270,697.41, 406,782.19 and 144,426.86 is: 217,033.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,697.41 : 406,782.19 = 144,426.86 : x
  2. Step 2: Convert to fraction form
    270,697.41/406,782.19 = 144,426.86/x
  3. Step 3: Cross multiply
    270,697.41x = 406,782.19 × 144,426.86
  4. Step 4: Simplify right side
    270,697.41x = 58,750,275,553.43
  5. Step 5: Solve for x
    x = 58,750,275,553.43/270,697.41
  6. Step 6: Final answer
    x = 217,033.02

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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.