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Finding the Fourth Proportional to 531,749.07, 797,978.12 and 275,817.56

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Solution

The fourth proportional to 531,749.07, 797,978.12 and 275,817.56 is: 413,910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,749.07 : 797,978.12 = 275,817.56 : x
  2. Step 2: Convert to fraction form
    531,749.07/797,978.12 = 275,817.56/x
  3. Step 3: Cross multiply
    531,749.07x = 797,978.12 × 275,817.56
  4. Step 4: Simplify right side
    531,749.07x = 220,096,372,622.81
  5. Step 5: Solve for x
    x = 220,096,372,622.81/531,749.07
  6. Step 6: Final answer
    x = 413,910.22

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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.