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Finding the Fourth Proportional to 376,033.59, 518,959.13 and 206,300.52

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Solution

The fourth proportional to 376,033.59, 518,959.13 and 206,300.52 is: 284,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,033.59 : 518,959.13 = 206,300.52 : x
  2. Step 2: Convert to fraction form
    376,033.59/518,959.13 = 206,300.52/x
  3. Step 3: Cross multiply
    376,033.59x = 518,959.13 × 206,300.52
  4. Step 4: Simplify right side
    376,033.59x = 107,061,537,346.25
  5. Step 5: Solve for x
    x = 107,061,537,346.25/376,033.59
  6. Step 6: Final answer
    x = 284,712.70

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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.