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Finding the Fourth Proportional to 299,159.34, 447,944.13 and 180,670.38

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Solution

The fourth proportional to 299,159.34, 447,944.13 and 180,670.38 is: 270,525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,159.34 : 447,944.13 = 180,670.38 : x
  2. Step 2: Convert to fraction form
    299,159.34/447,944.13 = 180,670.38/x
  3. Step 3: Cross multiply
    299,159.34x = 447,944.13 × 180,670.38
  4. Step 4: Simplify right side
    299,159.34x = 80,930,236,185.87
  5. Step 5: Solve for x
    x = 80,930,236,185.87/299,159.34
  6. Step 6: Final answer
    x = 270,525.52

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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.