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Finding the Fourth Proportional to 270,997.02, 406,491.84 and 84,008.52

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Solution

The fourth proportional to 270,997.02, 406,491.84 and 84,008.52 is: 126,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,997.02 : 406,491.84 = 84,008.52 : x
  2. Step 2: Convert to fraction form
    270,997.02/406,491.84 = 84,008.52/x
  3. Step 3: Cross multiply
    270,997.02x = 406,491.84 × 84,008.52
  4. Step 4: Simplify right side
    270,997.02x = 34,148,777,870.48
  5. Step 5: Solve for x
    x = 34,148,777,870.48/270,997.02
  6. Step 6: Final answer
    x = 126,011.64

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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.