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Finding the Fourth Proportional to 375,796.96, 518,599.68 and 206,027.52

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Solution

The fourth proportional to 375,796.96, 518,599.68 and 206,027.52 is: 284,317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,796.96 : 518,599.68 = 206,027.52 : x
  2. Step 2: Convert to fraction form
    375,796.96/518,599.68 = 206,027.52/x
  3. Step 3: Cross multiply
    375,796.96x = 518,599.68 × 206,027.52
  4. Step 4: Simplify right side
    375,796.96x = 106,845,805,943.19
  5. Step 5: Solve for x
    x = 106,845,805,943.19/375,796.96
  6. Step 6: Final answer
    x = 284,317.91

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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.