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Finding the Fourth Proportional to 375,941.25, 518,798.93 and 206,175.38

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Solution

The fourth proportional to 375,941.25, 518,798.93 and 206,175.38 is: 284,522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,941.25 : 518,798.93 = 206,175.38 : x
  2. Step 2: Convert to fraction form
    375,941.25/518,798.93 = 206,175.38/x
  3. Step 3: Cross multiply
    375,941.25x = 518,798.93 × 206,175.38
  4. Step 4: Simplify right side
    375,941.25x = 106,963,562,911.47
  5. Step 5: Solve for x
    x = 106,963,562,911.47/375,941.25
  6. Step 6: Final answer
    x = 284,522.02

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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.