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Finding the Fourth Proportional to 355,546.60, 533,934.30 and 189,658.60

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Solution

The fourth proportional to 355,546.60, 533,934.30 and 189,658.60 is: 284,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,546.60 : 533,934.30 = 189,658.60 : x
  2. Step 2: Convert to fraction form
    355,546.60/533,934.30 = 189,658.60/x
  3. Step 3: Cross multiply
    355,546.60x = 533,934.30 × 189,658.60
  4. Step 4: Simplify right side
    355,546.60x = 101,265,231,829.98
  5. Step 5: Solve for x
    x = 101,265,231,829.98/355,546.60
  6. Step 6: Final answer
    x = 284,815.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.