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Finding the Fourth Proportional to 340,276, 510,375.12 and 90,977.44

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Solution

The fourth proportional to 340,276, 510,375.12 and 90,977.44 is: 136,455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,276 : 510,375.12 = 90,977.44 : x
  2. Step 2: Convert to fraction form
    340,276/510,375.12 = 90,977.44/x
  3. Step 3: Cross multiply
    340,276x = 510,375.12 × 90,977.44
  4. Step 4: Simplify right side
    340,276x = 46,432,621,857.29
  5. Step 5: Solve for x
    x = 46,432,621,857.29/340,276
  6. Step 6: Final answer
    x = 136,455.76

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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.