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Finding the Fourth Proportional to 490,158.40, 735,064.80 and 174,625.60

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Solution

The fourth proportional to 490,158.40, 735,064.80 and 174,625.60 is: 261,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,158.40 : 735,064.80 = 174,625.60 : x
  2. Step 2: Convert to fraction form
    490,158.40/735,064.80 = 174,625.60/x
  3. Step 3: Cross multiply
    490,158.40x = 735,064.80 × 174,625.60
  4. Step 4: Simplify right side
    490,158.40x = 128,361,131,738.88
  5. Step 5: Solve for x
    x = 128,361,131,738.88/490,158.40
  6. Step 6: Final answer
    x = 261,876.84

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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.