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Finding the Fourth Proportional to 384,115.40, 576,153.90 and 197,145.80

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Solution

The fourth proportional to 384,115.40, 576,153.90 and 197,145.80 is: 295,708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,115.40 : 576,153.90 = 197,145.80 : x
  2. Step 2: Convert to fraction form
    384,115.40/576,153.90 = 197,145.80/x
  3. Step 3: Cross multiply
    384,115.40x = 576,153.90 × 197,145.80
  4. Step 4: Simplify right side
    384,115.40x = 113,586,321,538.62
  5. Step 5: Solve for x
    x = 113,586,321,538.62/384,115.40
  6. Step 6: Final answer
    x = 295,708.85

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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.