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Finding the Fourth Proportional to 530,680.84, 796,019.46 and 215,137

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Solution

The fourth proportional to 530,680.84, 796,019.46 and 215,137 is: 322,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,680.84 : 796,019.46 = 215,137 : x
  2. Step 2: Convert to fraction form
    530,680.84/796,019.46 = 215,137/x
  3. Step 3: Cross multiply
    530,680.84x = 796,019.46 × 215,137
  4. Step 4: Simplify right side
    530,680.84x = 171,253,238,566.02
  5. Step 5: Solve for x
    x = 171,253,238,566.02/530,680.84
  6. Step 6: Final answer
    x = 322,704.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.