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Finding the Fourth Proportional to 356,009.83, 491,274.54 and 194,833.70

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Solution

The fourth proportional to 356,009.83, 491,274.54 and 194,833.70 is: 268,860.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,009.83 : 491,274.54 = 194,833.70 : x
  2. Step 2: Convert to fraction form
    356,009.83/491,274.54 = 194,833.70/x
  3. Step 3: Cross multiply
    356,009.83x = 491,274.54 × 194,833.70
  4. Step 4: Simplify right side
    356,009.83x = 95,716,836,344.00
  5. Step 5: Solve for x
    x = 95,716,836,344.00/356,009.83
  6. Step 6: Final answer
    x = 268,860.10

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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.