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Finding the Fourth Proportional to 384,414.30, 576,621.45 and 100,104.30

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Solution

The fourth proportional to 384,414.30, 576,621.45 and 100,104.30 is: 150,156.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,414.30 : 576,621.45 = 100,104.30 : x
  2. Step 2: Convert to fraction form
    384,414.30/576,621.45 = 100,104.30/x
  3. Step 3: Cross multiply
    384,414.30x = 576,621.45 × 100,104.30
  4. Step 4: Simplify right side
    384,414.30x = 57,722,286,617.24
  5. Step 5: Solve for x
    x = 57,722,286,617.24/384,414.30
  6. Step 6: Final answer
    x = 150,156.45

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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.