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Finding the Fourth Proportional to 375,649.84, 518,401.38 and 205,883.56

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Solution

The fourth proportional to 375,649.84, 518,401.38 and 205,883.56 is: 284,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,649.84 : 518,401.38 = 205,883.56 : x
  2. Step 2: Convert to fraction form
    375,649.84/518,401.38 = 205,883.56/x
  3. Step 3: Cross multiply
    375,649.84x = 518,401.38 × 205,883.56
  4. Step 4: Simplify right side
    375,649.84x = 106,730,321,623.31
  5. Step 5: Solve for x
    x = 106,730,321,623.31/375,649.84
  6. Step 6: Final answer
    x = 284,121.83

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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.