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Finding the Fourth Proportional to 317,764, 476,711.64 and 93,131.80

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Solution

The fourth proportional to 317,764, 476,711.64 and 93,131.80 is: 139,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,764 : 476,711.64 = 93,131.80 : x
  2. Step 2: Convert to fraction form
    317,764/476,711.64 = 93,131.80/x
  3. Step 3: Cross multiply
    317,764x = 476,711.64 × 93,131.80
  4. Step 4: Simplify right side
    317,764x = 44,397,013,114.15
  5. Step 5: Solve for x
    x = 44,397,013,114.15/317,764
  6. Step 6: Final answer
    x = 139,716.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.