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Finding the Fourth Proportional to 490,611.60, 735,941.70 and 254,415.60

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Solution

The fourth proportional to 490,611.60, 735,941.70 and 254,415.60 is: 381,636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,611.60 : 735,941.70 = 254,415.60 : x
  2. Step 2: Convert to fraction form
    490,611.60/735,941.70 = 254,415.60/x
  3. Step 3: Cross multiply
    490,611.60x = 735,941.70 × 254,415.60
  4. Step 4: Simplify right side
    490,611.60x = 187,235,049,170.52
  5. Step 5: Solve for x
    x = 187,235,049,170.52/490,611.60
  6. Step 6: Final answer
    x = 381,636.00

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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.