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Finding the Fourth Proportional to 349,384.37, 482,167.52 and 196,470.68

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Solution

The fourth proportional to 349,384.37, 482,167.52 and 196,470.68 is: 271,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,384.37 : 482,167.52 = 196,470.68 : x
  2. Step 2: Convert to fraction form
    349,384.37/482,167.52 = 196,470.68/x
  3. Step 3: Cross multiply
    349,384.37x = 482,167.52 × 196,470.68
  4. Step 4: Simplify right side
    349,384.37x = 94,731,777,135.12
  5. Step 5: Solve for x
    x = 94,731,777,135.12/349,384.37
  6. Step 6: Final answer
    x = 271,139.14

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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.