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Finding the Fourth Proportional to 384,604.57, 576,907.27 and 100,294.87

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Solution

The fourth proportional to 384,604.57, 576,907.27 and 100,294.87 is: 150,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,604.57 : 576,907.27 = 100,294.87 : x
  2. Step 2: Convert to fraction form
    384,604.57/576,907.27 = 100,294.87/x
  3. Step 3: Cross multiply
    384,604.57x = 576,907.27 × 100,294.87
  4. Step 4: Simplify right side
    384,604.57x = 57,860,838,847.35
  5. Step 5: Solve for x
    x = 57,860,838,847.35/384,604.57
  6. Step 6: Final answer
    x = 150,442.41

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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.