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Finding the Fourth Proportional to 462,203.21, 693,304.52 and 174,069.20

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Solution

The fourth proportional to 462,203.21, 693,304.52 and 174,069.20 is: 261,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,203.21 : 693,304.52 = 174,069.20 : x
  2. Step 2: Convert to fraction form
    462,203.21/693,304.52 = 174,069.20/x
  3. Step 3: Cross multiply
    462,203.21x = 693,304.52 × 174,069.20
  4. Step 4: Simplify right side
    462,203.21x = 120,682,964,015.70
  5. Step 5: Solve for x
    x = 120,682,964,015.70/462,203.21
  6. Step 6: Final answer
    x = 261,103.69

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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.