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Finding the Fourth Proportional to 340,290, 510,396.09 and 90,991.44

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Solution

The fourth proportional to 340,290, 510,396.09 and 90,991.44 is: 136,476.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,290 : 510,396.09 = 90,991.44 : x
  2. Step 2: Convert to fraction form
    340,290/510,396.09 = 90,991.44/x
  3. Step 3: Cross multiply
    340,290x = 510,396.09 × 90,991.44
  4. Step 4: Simplify right side
    340,290x = 46,441,675,199.47
  5. Step 5: Solve for x
    x = 46,441,675,199.47/340,290
  6. Step 6: Final answer
    x = 136,476.76

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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.