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Finding the Fourth Proportional to 588,208.50, 811,728.45 and 319,936.50

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Solution

The fourth proportional to 588,208.50, 811,728.45 and 319,936.50 is: 441,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,208.50 : 811,728.45 = 319,936.50 : x
  2. Step 2: Convert to fraction form
    588,208.50/811,728.45 = 319,936.50/x
  3. Step 3: Cross multiply
    588,208.50x = 811,728.45 × 319,936.50
  4. Step 4: Simplify right side
    588,208.50x = 259,701,559,243.43
  5. Step 5: Solve for x
    x = 259,701,559,243.43/588,208.50
  6. Step 6: Final answer
    x = 441,512.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.