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Finding the Fourth Proportional to 354,231.62, 488,832.34 and 193,085.28

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Solution

The fourth proportional to 354,231.62, 488,832.34 and 193,085.28 is: 266,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,231.62 : 488,832.34 = 193,085.28 : x
  2. Step 2: Convert to fraction form
    354,231.62/488,832.34 = 193,085.28/x
  3. Step 3: Cross multiply
    354,231.62x = 488,832.34 × 193,085.28
  4. Step 4: Simplify right side
    354,231.62x = 94,386,329,241.96
  5. Step 5: Solve for x
    x = 94,386,329,241.96/354,231.62
  6. Step 6: Final answer
    x = 266,453.71

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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.