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Finding the Fourth Proportional to 354,164.44, 488,734.54 and 193,016.28

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Solution

The fourth proportional to 354,164.44, 488,734.54 and 193,016.28 is: 266,355.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,164.44 : 488,734.54 = 193,016.28 : x
  2. Step 2: Convert to fraction form
    354,164.44/488,734.54 = 193,016.28/x
  3. Step 3: Cross multiply
    354,164.44x = 488,734.54 × 193,016.28
  4. Step 4: Simplify right side
    354,164.44x = 94,333,722,818.31
  5. Step 5: Solve for x
    x = 94,333,722,818.31/354,164.44
  6. Step 6: Final answer
    x = 266,355.72

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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.