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Finding the Fourth Proportional to 384,142.30, 530,145.75 and 212,093.44

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Solution

The fourth proportional to 384,142.30, 530,145.75 and 212,093.44 is: 292,705.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,142.30 : 530,145.75 = 212,093.44 : x
  2. Step 2: Convert to fraction form
    384,142.30/530,145.75 = 212,093.44/x
  3. Step 3: Cross multiply
    384,142.30x = 530,145.75 × 212,093.44
  4. Step 4: Simplify right side
    384,142.30x = 112,440,435,818.88
  5. Step 5: Solve for x
    x = 112,440,435,818.88/384,142.30
  6. Step 6: Final answer
    x = 292,705.17

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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.