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Finding the Fourth Proportional to 383,000.38, 528,556.92 and 213,234.50

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Solution

The fourth proportional to 383,000.38, 528,556.92 and 213,234.50 is: 294,272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,000.38 : 528,556.92 = 213,234.50 : x
  2. Step 2: Convert to fraction form
    383,000.38/528,556.92 = 213,234.50/x
  3. Step 3: Cross multiply
    383,000.38x = 528,556.92 × 213,234.50
  4. Step 4: Simplify right side
    383,000.38x = 112,706,570,557.74
  5. Step 5: Solve for x
    x = 112,706,570,557.74/383,000.38
  6. Step 6: Final answer
    x = 294,272.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.