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Finding the Fourth Proportional to 375,494, 518,181.72 and 205,732.04

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Solution

The fourth proportional to 375,494, 518,181.72 and 205,732.04 is: 283,910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,494 : 518,181.72 = 205,732.04 : x
  2. Step 2: Convert to fraction form
    375,494/518,181.72 = 205,732.04/x
  3. Step 3: Cross multiply
    375,494x = 518,181.72 × 205,732.04
  4. Step 4: Simplify right side
    375,494x = 106,606,582,346.31
  5. Step 5: Solve for x
    x = 106,606,582,346.31/375,494
  6. Step 6: Final answer
    x = 283,910.22

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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.