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Finding the Fourth Proportional to 354,176.82, 488,749.68 and 193,028.40

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Solution

The fourth proportional to 354,176.82, 488,749.68 and 193,028.40 is: 266,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,176.82 : 488,749.68 = 193,028.40 : x
  2. Step 2: Convert to fraction form
    354,176.82/488,749.68 = 193,028.40/x
  3. Step 3: Cross multiply
    354,176.82x = 488,749.68 × 193,028.40
  4. Step 4: Simplify right side
    354,176.82x = 94,342,568,730.91
  5. Step 5: Solve for x
    x = 94,342,568,730.91/354,176.82
  6. Step 6: Final answer
    x = 266,371.38

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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.