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Finding the Fourth Proportional to 375,782.96, 518,580.36 and 206,013.44

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Solution

The fourth proportional to 375,782.96, 518,580.36 and 206,013.44 is: 284,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,782.96 : 518,580.36 = 206,013.44 : x
  2. Step 2: Convert to fraction form
    375,782.96/518,580.36 = 206,013.44/x
  3. Step 3: Cross multiply
    375,782.96x = 518,580.36 × 206,013.44
  4. Step 4: Simplify right side
    375,782.96x = 106,834,523,880.04
  5. Step 5: Solve for x
    x = 106,834,523,880.04/375,782.96
  6. Step 6: Final answer
    x = 284,298.48

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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.