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Finding the Fourth Proportional to 493,090.79, 739,736.67 and 223,089.24

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Solution

The fourth proportional to 493,090.79, 739,736.67 and 223,089.24 is: 334,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,090.79 : 739,736.67 = 223,089.24 : x
  2. Step 2: Convert to fraction form
    493,090.79/739,736.67 = 223,089.24/x
  3. Step 3: Cross multiply
    493,090.79x = 739,736.67 × 223,089.24
  4. Step 4: Simplify right side
    493,090.79x = 165,027,291,510.43
  5. Step 5: Solve for x
    x = 165,027,291,510.43/493,090.79
  6. Step 6: Final answer
    x = 334,679.33

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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.