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Finding the Fourth Proportional to 384,464.12, 576,694.08 and 156,758.84

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Solution

The fourth proportional to 384,464.12, 576,694.08 and 156,758.84 is: 235,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,464.12 : 576,694.08 = 156,758.84 : x
  2. Step 2: Convert to fraction form
    384,464.12/576,694.08 = 156,758.84/x
  3. Step 3: Cross multiply
    384,464.12x = 576,694.08 × 156,758.84
  4. Step 4: Simplify right side
    384,464.12x = 90,401,897,930.60
  5. Step 5: Solve for x
    x = 90,401,897,930.60/384,464.12
  6. Step 6: Final answer
    x = 235,137.41

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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.