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Finding the Fourth Proportional to 283,246.32, 424,473 and 213,043.44

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Solution

The fourth proportional to 283,246.32, 424,473 and 213,043.44 is: 319,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,246.32 : 424,473 = 213,043.44 : x
  2. Step 2: Convert to fraction form
    283,246.32/424,473 = 213,043.44/x
  3. Step 3: Cross multiply
    283,246.32x = 424,473 × 213,043.44
  4. Step 4: Simplify right side
    283,246.32x = 90,431,188,107.12
  5. Step 5: Solve for x
    x = 90,431,188,107.12/283,246.32
  6. Step 6: Final answer
    x = 319,266.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.