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Finding the Fourth Proportional to 349,524.46, 482,395.53 and 213,636.70

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Solution

The fourth proportional to 349,524.46, 482,395.53 and 213,636.70 is: 294,850.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,524.46 : 482,395.53 = 213,636.70 : x
  2. Step 2: Convert to fraction form
    349,524.46/482,395.53 = 213,636.70/x
  3. Step 3: Cross multiply
    349,524.46x = 482,395.53 × 213,636.70
  4. Step 4: Simplify right side
    349,524.46x = 103,057,389,123.95
  5. Step 5: Solve for x
    x = 103,057,389,123.95/349,524.46
  6. Step 6: Final answer
    x = 294,850.29

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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.