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Finding the Fourth Proportional to 462,172.91, 693,257.54 and 146,654.42

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Solution

The fourth proportional to 462,172.91, 693,257.54 and 146,654.42 is: 219,981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,172.91 : 693,257.54 = 146,654.42 : x
  2. Step 2: Convert to fraction form
    462,172.91/693,257.54 = 146,654.42/x
  3. Step 3: Cross multiply
    462,172.91x = 693,257.54 × 146,654.42
  4. Step 4: Simplify right side
    462,172.91x = 101,669,278,239.77
  5. Step 5: Solve for x
    x = 101,669,278,239.77/462,172.91
  6. Step 6: Final answer
    x = 219,981.04

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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.