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Finding the Fourth Proportional to 655,777.82, 983,701.87 and 206,533.70

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Solution

The fourth proportional to 655,777.82, 983,701.87 and 206,533.70 is: 309,811.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,777.82 : 983,701.87 = 206,533.70 : x
  2. Step 2: Convert to fraction form
    655,777.82/983,701.87 = 206,533.70/x
  3. Step 3: Cross multiply
    655,777.82x = 983,701.87 × 206,533.70
  4. Step 4: Simplify right side
    655,777.82x = 203,167,586,908.02
  5. Step 5: Solve for x
    x = 203,167,586,908.02/655,777.82
  6. Step 6: Final answer
    x = 309,811.62

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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.