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Finding the Fourth Proportional to 494,091.70, 681,596.12 and 312,497.80

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Solution

The fourth proportional to 494,091.70, 681,596.12 and 312,497.80 is: 431,088.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,091.70 : 681,596.12 = 312,497.80 : x
  2. Step 2: Convert to fraction form
    494,091.70/681,596.12 = 312,497.80/x
  3. Step 3: Cross multiply
    494,091.70x = 681,596.12 × 312,497.80
  4. Step 4: Simplify right side
    494,091.70x = 212,997,287,988.54
  5. Step 5: Solve for x
    x = 212,997,287,988.54/494,091.70
  6. Step 6: Final answer
    x = 431,088.58

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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.