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Finding the Fourth Proportional to 419,384.60, 628,552.29 and 330,286.22

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Solution

The fourth proportional to 419,384.60, 628,552.29 and 330,286.22 is: 495,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,384.60 : 628,552.29 = 330,286.22 : x
  2. Step 2: Convert to fraction form
    419,384.60/628,552.29 = 330,286.22/x
  3. Step 3: Cross multiply
    419,384.60x = 628,552.29 × 330,286.22
  4. Step 4: Simplify right side
    419,384.60x = 207,602,159,936.44
  5. Step 5: Solve for x
    x = 207,602,159,936.44/419,384.60
  6. Step 6: Final answer
    x = 495,016.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.