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Finding the Fourth Proportional to 336,134.28, 463,954.86 and 198,434.28

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Solution

The fourth proportional to 336,134.28, 463,954.86 and 198,434.28 is: 273,892.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,134.28 : 463,954.86 = 198,434.28 : x
  2. Step 2: Convert to fraction form
    336,134.28/463,954.86 = 198,434.28/x
  3. Step 3: Cross multiply
    336,134.28x = 463,954.86 × 198,434.28
  4. Step 4: Simplify right side
    336,134.28x = 92,064,548,596.60
  5. Step 5: Solve for x
    x = 92,064,548,596.60/336,134.28
  6. Step 6: Final answer
    x = 273,892.17

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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.