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Finding the Fourth Proportional to 493,921.65, 740,796.09 and 138,851.27

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Solution

The fourth proportional to 493,921.65, 740,796.09 and 138,851.27 is: 208,252.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,921.65 : 740,796.09 = 138,851.27 : x
  2. Step 2: Convert to fraction form
    493,921.65/740,796.09 = 138,851.27/x
  3. Step 3: Cross multiply
    493,921.65x = 740,796.09 × 138,851.27
  4. Step 4: Simplify right side
    493,921.65x = 102,860,474,203.55
  5. Step 5: Solve for x
    x = 102,860,474,203.55/493,921.65
  6. Step 6: Final answer
    x = 208,252.61

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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.