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Finding the Fourth Proportional to 384,604.08, 576,906.48 and 100,294.38

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Solution

The fourth proportional to 384,604.08, 576,906.48 and 100,294.38 is: 150,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,604.08 : 576,906.48 = 100,294.38 : x
  2. Step 2: Convert to fraction form
    384,604.08/576,906.48 = 100,294.38/x
  3. Step 3: Cross multiply
    384,604.08x = 576,906.48 × 100,294.38
  4. Step 4: Simplify right side
    384,604.08x = 57,860,477,729.58
  5. Step 5: Solve for x
    x = 57,860,477,729.58/384,604.08
  6. Step 6: Final answer
    x = 150,441.66

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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.