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Finding the Fourth Proportional to 541,814.14, 747,711.42 and 312,367.48

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Solution

The fourth proportional to 541,814.14, 747,711.42 and 312,367.48 is: 431,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,814.14 : 747,711.42 = 312,367.48 : x
  2. Step 2: Convert to fraction form
    541,814.14/747,711.42 = 312,367.48/x
  3. Step 3: Cross multiply
    541,814.14x = 747,711.42 × 312,367.48
  4. Step 4: Simplify right side
    541,814.14x = 233,560,732,032.62
  5. Step 5: Solve for x
    x = 233,560,732,032.62/541,814.14
  6. Step 6: Final answer
    x = 431,071.68

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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.