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Finding the Fourth Proportional to 465,047.77, 641,760.30 and 261,093.64

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Solution

The fourth proportional to 465,047.77, 641,760.30 and 261,093.64 is: 360,306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,047.77 : 641,760.30 = 261,093.64 : x
  2. Step 2: Convert to fraction form
    465,047.77/641,760.30 = 261,093.64/x
  3. Step 3: Cross multiply
    465,047.77x = 641,760.30 × 261,093.64
  4. Step 4: Simplify right side
    465,047.77x = 167,559,532,734.49
  5. Step 5: Solve for x
    x = 167,559,532,734.49/465,047.77
  6. Step 6: Final answer
    x = 360,306.07

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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.