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Finding the Fourth Proportional to 365,939.69, 505,306.76 and 230,017.41

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Solution

The fourth proportional to 365,939.69, 505,306.76 and 230,017.41 is: 317,618.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,939.69 : 505,306.76 = 230,017.41 : x
  2. Step 2: Convert to fraction form
    365,939.69/505,306.76 = 230,017.41/x
  3. Step 3: Cross multiply
    365,939.69x = 505,306.76 × 230,017.41
  4. Step 4: Simplify right side
    365,939.69x = 116,229,352,765.74
  5. Step 5: Solve for x
    x = 116,229,352,765.74/365,939.69
  6. Step 6: Final answer
    x = 317,618.87

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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.