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Finding the Fourth Proportional to 505,446.96, 758,607.12 and 206,092.56

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Solution

The fourth proportional to 505,446.96, 758,607.12 and 206,092.56 is: 309,316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,446.96 : 758,607.12 = 206,092.56 : x
  2. Step 2: Convert to fraction form
    505,446.96/758,607.12 = 206,092.56/x
  3. Step 3: Cross multiply
    505,446.96x = 758,607.12 × 206,092.56
  4. Step 4: Simplify right side
    505,446.96x = 156,343,283,395.03
  5. Step 5: Solve for x
    x = 156,343,283,395.03/505,446.96
  6. Step 6: Final answer
    x = 309,316.89

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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.