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Finding the Fourth Proportional to 355,097.05, 490,031.43 and 193,952.14

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Solution

The fourth proportional to 355,097.05, 490,031.43 and 193,952.14 is: 267,652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,097.05 : 490,031.43 = 193,952.14 : x
  2. Step 2: Convert to fraction form
    355,097.05/490,031.43 = 193,952.14/x
  3. Step 3: Cross multiply
    355,097.05x = 490,031.43 × 193,952.14
  4. Step 4: Simplify right side
    355,097.05x = 95,042,644,515.76
  5. Step 5: Solve for x
    x = 95,042,644,515.76/355,097.05
  6. Step 6: Final answer
    x = 267,652.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.