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Finding the Fourth Proportional to 493,306.38, 680,762.80 and 266,951.88

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Solution

The fourth proportional to 493,306.38, 680,762.80 and 266,951.88 is: 368,393.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,306.38 : 680,762.80 = 266,951.88 : x
  2. Step 2: Convert to fraction form
    493,306.38/680,762.80 = 266,951.88/x
  3. Step 3: Cross multiply
    493,306.38x = 680,762.80 × 266,951.88
  4. Step 4: Simplify right side
    493,306.38x = 181,730,905,556.56
  5. Step 5: Solve for x
    x = 181,730,905,556.56/493,306.38
  6. Step 6: Final answer
    x = 368,393.59

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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.