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Finding the Fourth Proportional to 384,145.64, 530,121.00 and 212,063.67

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Solution

The fourth proportional to 384,145.64, 530,121.00 and 212,063.67 is: 292,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,145.64 : 530,121.00 = 212,063.67 : x
  2. Step 2: Convert to fraction form
    384,145.64/530,121.00 = 212,063.67/x
  3. Step 3: Cross multiply
    384,145.64x = 530,121.00 × 212,063.67
  4. Step 4: Simplify right side
    384,145.64x = 112,419,405,599.31
  5. Step 5: Solve for x
    x = 112,419,405,599.31/384,145.64
  6. Step 6: Final answer
    x = 292,647.88

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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.