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Finding the Fourth Proportional to 565,674.32, 848,289.12 and 205,759.73

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Solution

The fourth proportional to 565,674.32, 848,289.12 and 205,759.73 is: 308,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,674.32 : 848,289.12 = 205,759.73 : x
  2. Step 2: Convert to fraction form
    565,674.32/848,289.12 = 205,759.73/x
  3. Step 3: Cross multiply
    565,674.32x = 848,289.12 × 205,759.73
  4. Step 4: Simplify right side
    565,674.32x = 174,543,736,051.69
  5. Step 5: Solve for x
    x = 174,543,736,051.69/565,674.32
  6. Step 6: Final answer
    x = 308,558.71

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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.