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Finding the Fourth Proportional to 357,924.70, 493,936.40 and 196,782.49

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Solution

The fourth proportional to 357,924.70, 493,936.40 and 196,782.49 is: 271,560.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,924.70 : 493,936.40 = 196,782.49 : x
  2. Step 2: Convert to fraction form
    357,924.70/493,936.40 = 196,782.49/x
  3. Step 3: Cross multiply
    357,924.70x = 493,936.40 × 196,782.49
  4. Step 4: Simplify right side
    357,924.70x = 97,198,031,240.04
  5. Step 5: Solve for x
    x = 97,198,031,240.04/357,924.70
  6. Step 6: Final answer
    x = 271,560.00

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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.