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Finding the Fourth Proportional to 397,794.84, 595,742.50 and 228,960.28

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Solution

The fourth proportional to 397,794.84, 595,742.50 and 228,960.28 is: 342,893.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,794.84 : 595,742.50 = 228,960.28 : x
  2. Step 2: Convert to fraction form
    397,794.84/595,742.50 = 228,960.28/x
  3. Step 3: Cross multiply
    397,794.84x = 595,742.50 × 228,960.28
  4. Step 4: Simplify right side
    397,794.84x = 136,401,369,607.90
  5. Step 5: Solve for x
    x = 136,401,369,607.90/397,794.84
  6. Step 6: Final answer
    x = 342,893.76

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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.