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Finding the Fourth Proportional to 357,406.38, 493,196.36 and 196,271.87

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Solution

The fourth proportional to 357,406.38, 493,196.36 and 196,271.87 is: 270,841.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,406.38 : 493,196.36 = 196,271.87 : x
  2. Step 2: Convert to fraction form
    357,406.38/493,196.36 = 196,271.87/x
  3. Step 3: Cross multiply
    357,406.38x = 493,196.36 × 196,271.87
  4. Step 4: Simplify right side
    357,406.38x = 96,800,568,407.05
  5. Step 5: Solve for x
    x = 96,800,568,407.05/357,406.38
  6. Step 6: Final answer
    x = 270,841.75

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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.