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Finding the Fourth Proportional to 375,736.98, 518,552.91 and 214,616.10

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Solution

The fourth proportional to 375,736.98, 518,552.91 and 214,616.10 is: 296,190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,736.98 : 518,552.91 = 214,616.10 : x
  2. Step 2: Convert to fraction form
    375,736.98/518,552.91 = 214,616.10/x
  3. Step 3: Cross multiply
    375,736.98x = 518,552.91 × 214,616.10
  4. Step 4: Simplify right side
    375,736.98x = 111,289,803,187.85
  5. Step 5: Solve for x
    x = 111,289,803,187.85/375,736.98
  6. Step 6: Final answer
    x = 296,190.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.