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Finding the Fourth Proportional to 357,924.42, 493,937.40 and 196,789.90

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Solution

The fourth proportional to 357,924.42, 493,937.40 and 196,789.90 is: 271,571.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,924.42 : 493,937.40 = 196,789.90 : x
  2. Step 2: Convert to fraction form
    357,924.42/493,937.40 = 196,789.90/x
  3. Step 3: Cross multiply
    357,924.42x = 493,937.40 × 196,789.90
  4. Step 4: Simplify right side
    357,924.42x = 97,201,891,552.26
  5. Step 5: Solve for x
    x = 97,201,891,552.26/357,924.42
  6. Step 6: Final answer
    x = 271,571.00

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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.