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Finding the Fourth Proportional to 490,892.40, 735,949.80 and 269,276.40

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Solution

The fourth proportional to 490,892.40, 735,949.80 and 269,276.40 is: 403,701.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,892.40 : 735,949.80 = 269,276.40 : x
  2. Step 2: Convert to fraction form
    490,892.40/735,949.80 = 269,276.40/x
  3. Step 3: Cross multiply
    490,892.40x = 735,949.80 × 269,276.40
  4. Step 4: Simplify right side
    490,892.40x = 198,173,912,724.72
  5. Step 5: Solve for x
    x = 198,173,912,724.72/490,892.40
  6. Step 6: Final answer
    x = 403,701.33

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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.