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Finding the Fourth Proportional to 270,944.68, 406,474.09 and 102,461.28

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Solution

The fourth proportional to 270,944.68, 406,474.09 and 102,461.28 is: 153,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,944.68 : 406,474.09 = 102,461.28 : x
  2. Step 2: Convert to fraction form
    270,944.68/406,474.09 = 102,461.28/x
  3. Step 3: Cross multiply
    270,944.68x = 406,474.09 × 102,461.28
  4. Step 4: Simplify right side
    270,944.68x = 41,647,855,548.24
  5. Step 5: Solve for x
    x = 41,647,855,548.24/270,944.68
  6. Step 6: Final answer
    x = 153,713.50

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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.