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Finding the Fourth Proportional to 340,288, 510,393.09 and 90,989.44

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Solution

The fourth proportional to 340,288, 510,393.09 and 90,989.44 is: 136,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,288 : 510,393.09 = 90,989.44 : x
  2. Step 2: Convert to fraction form
    340,288/510,393.09 = 90,989.44/x
  3. Step 3: Cross multiply
    340,288x = 510,393.09 × 90,989.44
  4. Step 4: Simplify right side
    340,288x = 46,440,381,438.97
  5. Step 5: Solve for x
    x = 46,440,381,438.97/340,288
  6. Step 6: Final answer
    x = 136,473.76

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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.