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Finding the Fourth Proportional to 493,059.56, 680,422.02 and 266,704.52

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Solution

The fourth proportional to 493,059.56, 680,422.02 and 266,704.52 is: 368,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,059.56 : 680,422.02 = 266,704.52 : x
  2. Step 2: Convert to fraction form
    493,059.56/680,422.02 = 266,704.52/x
  3. Step 3: Cross multiply
    493,059.56x = 680,422.02 × 266,704.52
  4. Step 4: Simplify right side
    493,059.56x = 181,471,628,241.53
  5. Step 5: Solve for x
    x = 181,471,628,241.53/493,059.56
  6. Step 6: Final answer
    x = 368,052.14

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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.