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Finding the Fourth Proportional to 591,723.84, 816,579 and 319,790.84

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Solution

The fourth proportional to 591,723.84, 816,579 and 319,790.84 is: 441,311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,723.84 : 816,579 = 319,790.84 : x
  2. Step 2: Convert to fraction form
    591,723.84/816,579 = 319,790.84/x
  3. Step 3: Cross multiply
    591,723.84x = 816,579 × 319,790.84
  4. Step 4: Simplify right side
    591,723.84x = 261,134,484,336.36
  5. Step 5: Solve for x
    x = 261,134,484,336.36/591,723.84
  6. Step 6: Final answer
    x = 441,311.41

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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.