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Finding the Fourth Proportional to 490,605.60, 735,932.70 and 254,409.60

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Solution

The fourth proportional to 490,605.60, 735,932.70 and 254,409.60 is: 381,627.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,605.60 : 735,932.70 = 254,409.60 : x
  2. Step 2: Convert to fraction form
    490,605.60/735,932.70 = 254,409.60/x
  3. Step 3: Cross multiply
    490,605.60x = 735,932.70 × 254,409.60
  4. Step 4: Simplify right side
    490,605.60x = 187,228,343,833.92
  5. Step 5: Solve for x
    x = 187,228,343,833.92/490,605.60
  6. Step 6: Final answer
    x = 381,627.00

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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.