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Finding the Fourth Proportional to 510,681.36, 704,217.60 and 338,539.44

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Solution

The fourth proportional to 510,681.36, 704,217.60 and 338,539.44 is: 466,837.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,681.36 : 704,217.60 = 338,539.44 : x
  2. Step 2: Convert to fraction form
    510,681.36/704,217.60 = 338,539.44/x
  3. Step 3: Cross multiply
    510,681.36x = 704,217.60 × 338,539.44
  4. Step 4: Simplify right side
    510,681.36x = 238,405,431,942.14
  5. Step 5: Solve for x
    x = 238,405,431,942.14/510,681.36
  6. Step 6: Final answer
    x = 466,837.94

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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.