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Finding the Fourth Proportional to 354,176.94, 488,749.92 and 193,028.52

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Solution

The fourth proportional to 354,176.94, 488,749.92 and 193,028.52 is: 266,371.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,176.94 : 488,749.92 = 193,028.52 : x
  2. Step 2: Convert to fraction form
    354,176.94/488,749.92 = 193,028.52/x
  3. Step 3: Cross multiply
    354,176.94x = 488,749.92 × 193,028.52
  4. Step 4: Simplify right side
    354,176.94x = 94,342,673,707.72
  5. Step 5: Solve for x
    x = 94,342,673,707.72/354,176.94
  6. Step 6: Final answer
    x = 266,371.59

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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.