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Finding the Fourth Proportional to 322,461.60, 483,692.40 and 163,029.30

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Solution

The fourth proportional to 322,461.60, 483,692.40 and 163,029.30 is: 244,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,461.60 : 483,692.40 = 163,029.30 : x
  2. Step 2: Convert to fraction form
    322,461.60/483,692.40 = 163,029.30/x
  3. Step 3: Cross multiply
    322,461.60x = 483,692.40 × 163,029.30
  4. Step 4: Simplify right side
    322,461.60x = 78,856,033,387.32
  5. Step 5: Solve for x
    x = 78,856,033,387.32/322,461.60
  6. Step 6: Final answer
    x = 244,543.95

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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.