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Finding the Fourth Proportional to 357,963.08, 493,975.77 and 196,808.54

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Solution

The fourth proportional to 357,963.08, 493,975.77 and 196,808.54 is: 271,588.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,963.08 : 493,975.77 = 196,808.54 : x
  2. Step 2: Convert to fraction form
    357,963.08/493,975.77 = 196,808.54/x
  3. Step 3: Cross multiply
    357,963.08x = 493,975.77 × 196,808.54
  4. Step 4: Simplify right side
    357,963.08x = 97,218,650,089.08
  5. Step 5: Solve for x
    x = 97,218,650,089.08/357,963.08
  6. Step 6: Final answer
    x = 271,588.48

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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.