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Finding the Fourth Proportional to 357,973.39, 494,005.11 and 196,838.83

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Solution

The fourth proportional to 357,973.39, 494,005.11 and 196,838.83 is: 271,638.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,973.39 : 494,005.11 = 196,838.83 : x
  2. Step 2: Convert to fraction form
    357,973.39/494,005.11 = 196,838.83/x
  3. Step 3: Cross multiply
    357,973.39x = 494,005.11 × 196,838.83
  4. Step 4: Simplify right side
    357,973.39x = 97,239,385,396.40
  5. Step 5: Solve for x
    x = 97,239,385,396.40/357,973.39
  6. Step 6: Final answer
    x = 271,638.59

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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.