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Finding the Fourth Proportional to 349,336, 482,061 and 206,063.20

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Solution

The fourth proportional to 349,336, 482,061 and 206,063.20 is: 284,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,336 : 482,061 = 206,063.20 : x
  2. Step 2: Convert to fraction form
    349,336/482,061 = 206,063.20/x
  3. Step 3: Cross multiply
    349,336x = 482,061 × 206,063.20
  4. Step 4: Simplify right side
    349,336x = 99,335,032,255.20
  5. Step 5: Solve for x
    x = 99,335,032,255.20/349,336
  6. Step 6: Final answer
    x = 284,353.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.