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Finding the Fourth Proportional to 530,930, 796,414.92 and 146,717.84

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Solution

The fourth proportional to 530,930, 796,414.92 and 146,717.84 is: 220,082.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,930 : 796,414.92 = 146,717.84 : x
  2. Step 2: Convert to fraction form
    530,930/796,414.92 = 146,717.84/x
  3. Step 3: Cross multiply
    530,930x = 796,414.92 × 146,717.84
  4. Step 4: Simplify right side
    530,930x = 116,848,276,806.17
  5. Step 5: Solve for x
    x = 116,848,276,806.17/530,930
  6. Step 6: Final answer
    x = 220,082.26

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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.