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Finding the Fourth Proportional to 354,190.97, 488,783.91 and 193,046.15

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Solution

The fourth proportional to 354,190.97, 488,783.91 and 193,046.15 is: 266,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,190.97 : 488,783.91 = 193,046.15 : x
  2. Step 2: Convert to fraction form
    354,190.97/488,783.91 = 193,046.15/x
  3. Step 3: Cross multiply
    354,190.97x = 488,783.91 × 193,046.15
  4. Step 4: Simplify right side
    354,190.97x = 94,357,848,598.30
  5. Step 5: Solve for x
    x = 94,357,848,598.30/354,190.97
  6. Step 6: Final answer
    x = 266,403.88

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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.