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Finding the Fourth Proportional to 349,699.68, 482,586.30 and 206,468.94

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Solution

The fourth proportional to 349,699.68, 482,586.30 and 206,468.94 is: 284,927.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,699.68 : 482,586.30 = 206,468.94 : x
  2. Step 2: Convert to fraction form
    349,699.68/482,586.30 = 206,468.94/x
  3. Step 3: Cross multiply
    349,699.68x = 482,586.30 × 206,468.94
  4. Step 4: Simplify right side
    349,699.68x = 99,639,081,819.52
  5. Step 5: Solve for x
    x = 99,639,081,819.52/349,699.68
  6. Step 6: Final answer
    x = 284,927.58

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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.