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Finding the Fourth Proportional to 384,563.16, 576,436.26 and 226,865.88

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Solution

The fourth proportional to 384,563.16, 576,436.26 and 226,865.88 is: 340,057.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,563.16 : 576,436.26 = 226,865.88 : x
  2. Step 2: Convert to fraction form
    384,563.16/576,436.26 = 226,865.88/x
  3. Step 3: Cross multiply
    384,563.16x = 576,436.26 × 226,865.88
  4. Step 4: Simplify right side
    384,563.16x = 130,773,719,388.81
  5. Step 5: Solve for x
    x = 130,773,719,388.81/384,563.16
  6. Step 6: Final answer
    x = 340,057.84

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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.