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Finding the Fourth Proportional to 357,972.33, 493,988.52 and 196,817.79

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Solution

The fourth proportional to 357,972.33, 493,988.52 and 196,817.79 is: 271,601.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,972.33 : 493,988.52 = 196,817.79 : x
  2. Step 2: Convert to fraction form
    357,972.33/493,988.52 = 196,817.79/x
  3. Step 3: Cross multiply
    357,972.33x = 493,988.52 × 196,817.79
  4. Step 4: Simplify right side
    357,972.33x = 97,225,728,791.77
  5. Step 5: Solve for x
    x = 97,225,728,791.77/357,972.33
  6. Step 6: Final answer
    x = 271,601.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.