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Finding the Fourth Proportional to 389,311.30, 584,076.30 and 189,638.20

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Solution

The fourth proportional to 389,311.30, 584,076.30 and 189,638.20 is: 284,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,311.30 : 584,076.30 = 189,638.20 : x
  2. Step 2: Convert to fraction form
    389,311.30/584,076.30 = 189,638.20/x
  3. Step 3: Cross multiply
    389,311.30x = 584,076.30 × 189,638.20
  4. Step 4: Simplify right side
    389,311.30x = 110,763,178,194.66
  5. Step 5: Solve for x
    x = 110,763,178,194.66/389,311.30
  6. Step 6: Final answer
    x = 284,510.57

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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.