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Finding the Fourth Proportional to 349,913.84, 482,714.79 and 206,577.86

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Solution

The fourth proportional to 349,913.84, 482,714.79 and 206,577.86 is: 284,979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,913.84 : 482,714.79 = 206,577.86 : x
  2. Step 2: Convert to fraction form
    349,913.84/482,714.79 = 206,577.86/x
  3. Step 3: Cross multiply
    349,913.84x = 482,714.79 × 206,577.86
  4. Step 4: Simplify right side
    349,913.84x = 99,718,188,308.55
  5. Step 5: Solve for x
    x = 99,718,188,308.55/349,913.84
  6. Step 6: Final answer
    x = 284,979.26

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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.