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Finding the Fourth Proportional to 375,353.97, 518,025.69 and 214,233.36

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Solution

The fourth proportional to 375,353.97, 518,025.69 and 214,233.36 is: 295,663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,353.97 : 518,025.69 = 214,233.36 : x
  2. Step 2: Convert to fraction form
    375,353.97/518,025.69 = 214,233.36/x
  3. Step 3: Cross multiply
    375,353.97x = 518,025.69 × 214,233.36
  4. Step 4: Simplify right side
    375,353.97x = 110,978,384,135.02
  5. Step 5: Solve for x
    x = 110,978,384,135.02/375,353.97
  6. Step 6: Final answer
    x = 295,663.28

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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.