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Finding the Fourth Proportional to 413,844.66, 620,778.69 and 114,325.29

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Solution

The fourth proportional to 413,844.66, 620,778.69 and 114,325.29 is: 171,491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,844.66 : 620,778.69 = 114,325.29 : x
  2. Step 2: Convert to fraction form
    413,844.66/620,778.69 = 114,325.29/x
  3. Step 3: Cross multiply
    413,844.66x = 620,778.69 × 114,325.29
  4. Step 4: Simplify right side
    413,844.66x = 70,970,703,760.07
  5. Step 5: Solve for x
    x = 70,970,703,760.07/413,844.66
  6. Step 6: Final answer
    x = 171,491.17

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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.