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Finding the Fourth Proportional to 357,924.95, 493,936.74 and 196,782.74

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Solution

The fourth proportional to 357,924.95, 493,936.74 and 196,782.74 is: 271,560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,924.95 : 493,936.74 = 196,782.74 : x
  2. Step 2: Convert to fraction form
    357,924.95/493,936.74 = 196,782.74/x
  3. Step 3: Cross multiply
    357,924.95x = 493,936.74 × 196,782.74
  4. Step 4: Simplify right side
    357,924.95x = 97,198,222,614.18
  5. Step 5: Solve for x
    x = 97,198,222,614.18/357,924.95
  6. Step 6: Final answer
    x = 271,560.35

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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.