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Finding the Fourth Proportional to 356,414.81, 491,458.41 and 227,148.71

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Solution

The fourth proportional to 356,414.81, 491,458.41 and 227,148.71 is: 313,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,414.81 : 491,458.41 = 227,148.71 : x
  2. Step 2: Convert to fraction form
    356,414.81/491,458.41 = 227,148.71/x
  3. Step 3: Cross multiply
    356,414.81x = 491,458.41 × 227,148.71
  4. Step 4: Simplify right side
    356,414.81x = 111,634,143,850.15
  5. Step 5: Solve for x
    x = 111,634,143,850.15/356,414.81
  6. Step 6: Final answer
    x = 313,214.10

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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.