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Finding the Fourth Proportional to 289,383.20, 433,815.60 and 189,591.20

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Solution

The fourth proportional to 289,383.20, 433,815.60 and 189,591.20 is: 284,216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,383.20 : 433,815.60 = 189,591.20 : x
  2. Step 2: Convert to fraction form
    289,383.20/433,815.60 = 189,591.20/x
  3. Step 3: Cross multiply
    289,383.20x = 433,815.60 × 189,591.20
  4. Step 4: Simplify right side
    289,383.20x = 82,247,620,182.72
  5. Step 5: Solve for x
    x = 82,247,620,182.72/289,383.20
  6. Step 6: Final answer
    x = 284,216.98

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1.5x scale

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.