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Finding the Fourth Proportional to 463,216.14, 638,730.63 and 301,771.80

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Solution

The fourth proportional to 463,216.14, 638,730.63 and 301,771.80 is: 416,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,216.14 : 638,730.63 = 301,771.80 : x
  2. Step 2: Convert to fraction form
    463,216.14/638,730.63 = 301,771.80/x
  3. Step 3: Cross multiply
    463,216.14x = 638,730.63 × 301,771.80
  4. Step 4: Simplify right side
    463,216.14x = 192,750,891,930.23
  5. Step 5: Solve for x
    x = 192,750,891,930.23/463,216.14
  6. Step 6: Final answer
    x = 416,114.37

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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.