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Finding the Fourth Proportional to 357,874.44, 493,868.32 and 196,739.84

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Solution

The fourth proportional to 357,874.44, 493,868.32 and 196,739.84 is: 271,501.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,874.44 : 493,868.32 = 196,739.84 : x
  2. Step 2: Convert to fraction form
    357,874.44/493,868.32 = 196,739.84/x
  3. Step 3: Cross multiply
    357,874.44x = 493,868.32 × 196,739.84
  4. Step 4: Simplify right side
    357,874.44x = 97,163,574,257.87
  5. Step 5: Solve for x
    x = 97,163,574,257.87/357,874.44
  6. Step 6: Final answer
    x = 271,501.85

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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.