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Finding the Fourth Proportional to 490,191.60, 735,141.60 and 190,499.70

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Solution

The fourth proportional to 490,191.60, 735,141.60 and 190,499.70 is: 285,692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,191.60 : 735,141.60 = 190,499.70 : x
  2. Step 2: Convert to fraction form
    490,191.60/735,141.60 = 190,499.70/x
  3. Step 3: Cross multiply
    490,191.60x = 735,141.60 × 190,499.70
  4. Step 4: Simplify right side
    490,191.60x = 140,044,254,257.52
  5. Step 5: Solve for x
    x = 140,044,254,257.52/490,191.60
  6. Step 6: Final answer
    x = 285,692.89

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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.