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Finding the Fourth Proportional to 356,097.86, 491,415.16 and 194,963.15

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Solution

The fourth proportional to 356,097.86, 491,415.16 and 194,963.15 is: 269,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,097.86 : 491,415.16 = 194,963.15 : x
  2. Step 2: Convert to fraction form
    356,097.86/491,415.16 = 194,963.15/x
  3. Step 3: Cross multiply
    356,097.86x = 491,415.16 × 194,963.15
  4. Step 4: Simplify right side
    356,097.86x = 95,807,845,094.28
  5. Step 5: Solve for x
    x = 95,807,845,094.28/356,097.86
  6. Step 6: Final answer
    x = 269,049.20

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1.5x scale

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.