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Finding the Fourth Proportional to 357,603.70, 493,493.32 and 196,469.14

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Solution

The fourth proportional to 357,603.70, 493,493.32 and 196,469.14 is: 271,127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,603.70 : 493,493.32 = 196,469.14 : x
  2. Step 2: Convert to fraction form
    357,603.70/493,493.32 = 196,469.14/x
  3. Step 3: Cross multiply
    357,603.70x = 493,493.32 × 196,469.14
  4. Step 4: Simplify right side
    357,603.70x = 96,956,208,176.14
  5. Step 5: Solve for x
    x = 96,956,208,176.14/357,603.70
  6. Step 6: Final answer
    x = 271,127.53

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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.