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Finding the Fourth Proportional to 655,782.86, 983,709.39 and 206,538.74

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Solution

The fourth proportional to 655,782.86, 983,709.39 and 206,538.74 is: 309,819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,782.86 : 983,709.39 = 206,538.74 : x
  2. Step 2: Convert to fraction form
    655,782.86/983,709.39 = 206,538.74/x
  3. Step 3: Cross multiply
    655,782.86x = 983,709.39 × 206,538.74
  4. Step 4: Simplify right side
    655,782.86x = 203,174,097,936.77
  5. Step 5: Solve for x
    x = 203,174,097,936.77/655,782.86
  6. Step 6: Final answer
    x = 309,819.16

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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.