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Finding the Fourth Proportional to 462,952.28, 694,483.98 and 163,371

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Solution

The fourth proportional to 462,952.28, 694,483.98 and 163,371 is: 245,076.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,952.28 : 694,483.98 = 163,371 : x
  2. Step 2: Convert to fraction form
    462,952.28/694,483.98 = 163,371/x
  3. Step 3: Cross multiply
    462,952.28x = 694,483.98 × 163,371
  4. Step 4: Simplify right side
    462,952.28x = 113,458,542,296.58
  5. Step 5: Solve for x
    x = 113,458,542,296.58/462,952.28
  6. Step 6: Final answer
    x = 245,076.11

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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.