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Finding the Fourth Proportional to 356,374.94, 491,797.41 and 213,134.99

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Solution

The fourth proportional to 356,374.94, 491,797.41 and 213,134.99 is: 294,126.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,374.94 : 491,797.41 = 213,134.99 : x
  2. Step 2: Convert to fraction form
    356,374.94/491,797.41 = 213,134.99/x
  3. Step 3: Cross multiply
    356,374.94x = 491,797.41 × 213,134.99
  4. Step 4: Simplify right side
    356,374.94x = 104,819,236,062.38
  5. Step 5: Solve for x
    x = 104,819,236,062.38/356,374.94
  6. Step 6: Final answer
    x = 294,126.28

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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.