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Finding the Fourth Proportional to 293,817.28, 440,728.80 and 116,367.52

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Solution

The fourth proportional to 293,817.28, 440,728.80 and 116,367.52 is: 174,552.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,817.28 : 440,728.80 = 116,367.52 : x
  2. Step 2: Convert to fraction form
    293,817.28/440,728.80 = 116,367.52/x
  3. Step 3: Cross multiply
    293,817.28x = 440,728.80 × 116,367.52
  4. Step 4: Simplify right side
    293,817.28x = 51,286,517,448.58
  5. Step 5: Solve for x
    x = 51,286,517,448.58/293,817.28
  6. Step 6: Final answer
    x = 174,552.42

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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.