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Finding the Fourth Proportional to 490,616.10, 735,948.45 and 254,420.10

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Solution

The fourth proportional to 490,616.10, 735,948.45 and 254,420.10 is: 381,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,616.10 : 735,948.45 = 254,420.10 : x
  2. Step 2: Convert to fraction form
    490,616.10/735,948.45 = 254,420.10/x
  3. Step 3: Cross multiply
    490,616.10x = 735,948.45 × 254,420.10
  4. Step 4: Simplify right side
    490,616.10x = 187,240,078,243.85
  5. Step 5: Solve for x
    x = 187,240,078,243.85/490,616.10
  6. Step 6: Final answer
    x = 381,642.75

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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.