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Finding the Fourth Proportional to 521,704.94, 782,329.53 and 184,633.61

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Solution

The fourth proportional to 521,704.94, 782,329.53 and 184,633.61 is: 276,869.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,704.94 : 782,329.53 = 184,633.61 : x
  2. Step 2: Convert to fraction form
    521,704.94/782,329.53 = 184,633.61/x
  3. Step 3: Cross multiply
    521,704.94x = 782,329.53 × 184,633.61
  4. Step 4: Simplify right side
    521,704.94x = 144,444,324,410.34
  5. Step 5: Solve for x
    x = 144,444,324,410.34/521,704.94
  6. Step 6: Final answer
    x = 276,869.77

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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.