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Finding the Fourth Proportional to 490,625.10, 735,937.65 and 254,429.10

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Solution

The fourth proportional to 490,625.10, 735,937.65 and 254,429.10 is: 381,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,625.10 : 735,937.65 = 254,429.10 : x
  2. Step 2: Convert to fraction form
    490,625.10/735,937.65 = 254,429.10/x
  3. Step 3: Cross multiply
    490,625.10x = 735,937.65 × 254,429.10
  4. Step 4: Simplify right side
    490,625.10x = 187,243,953,945.62
  5. Step 5: Solve for x
    x = 187,243,953,945.62/490,625.10
  6. Step 6: Final answer
    x = 381,643.65

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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.