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Finding the Fourth Proportional to 349,685.30, 482,566.45 and 206,454.57

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Solution

The fourth proportional to 349,685.30, 482,566.45 and 206,454.57 is: 284,907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,685.30 : 482,566.45 = 206,454.57 : x
  2. Step 2: Convert to fraction form
    349,685.30/482,566.45 = 206,454.57/x
  3. Step 3: Cross multiply
    349,685.30x = 482,566.45 × 206,454.57
  4. Step 4: Simplify right side
    349,685.30x = 99,628,048,586.04
  5. Step 5: Solve for x
    x = 99,628,048,586.04/349,685.30
  6. Step 6: Final answer
    x = 284,907.74

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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.