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Finding the Fourth Proportional to 591,732.35, 816,594.38 and 319,799.60

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Solution

The fourth proportional to 591,732.35, 816,594.38 and 319,799.60 is: 441,325.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,732.35 : 816,594.38 = 319,799.60 : x
  2. Step 2: Convert to fraction form
    591,732.35/816,594.38 = 319,799.60/x
  3. Step 3: Cross multiply
    591,732.35x = 816,594.38 × 319,799.60
  4. Step 4: Simplify right side
    591,732.35x = 261,146,554,487.25
  5. Step 5: Solve for x
    x = 261,146,554,487.25/591,732.35
  6. Step 6: Final answer
    x = 441,325.47

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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.