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Finding the Fourth Proportional to 357,843.93, 493,821.71 and 196,697.26

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Solution

The fourth proportional to 357,843.93, 493,821.71 and 196,697.26 is: 271,440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,843.93 : 493,821.71 = 196,697.26 : x
  2. Step 2: Convert to fraction form
    357,843.93/493,821.71 = 196,697.26/x
  3. Step 3: Cross multiply
    357,843.93x = 493,821.71 × 196,697.26
  4. Step 4: Simplify right side
    357,843.93x = 97,133,378,763.34
  5. Step 5: Solve for x
    x = 97,133,378,763.34/357,843.93
  6. Step 6: Final answer
    x = 271,440.62

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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.