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Finding the Fourth Proportional to 591,683.63, 816,523.65 and 319,751.43

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Solution

The fourth proportional to 591,683.63, 816,523.65 and 319,751.43 is: 441,257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,683.63 : 816,523.65 = 319,751.43 : x
  2. Step 2: Convert to fraction form
    591,683.63/816,523.65 = 319,751.43/x
  3. Step 3: Cross multiply
    591,683.63x = 816,523.65 × 319,751.43
  4. Step 4: Simplify right side
    591,683.63x = 261,084,604,716.32
  5. Step 5: Solve for x
    x = 261,084,604,716.32/591,683.63
  6. Step 6: Final answer
    x = 441,257.11

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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.