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Finding the Fourth Proportional to 383,171.65, 528,793.19 and 213,405.78

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Solution

The fourth proportional to 383,171.65, 528,793.19 and 213,405.78 is: 294,509.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,171.65 : 528,793.19 = 213,405.78 : x
  2. Step 2: Convert to fraction form
    383,171.65/528,793.19 = 213,405.78/x
  3. Step 3: Cross multiply
    383,171.65x = 528,793.19 × 213,405.78
  4. Step 4: Simplify right side
    383,171.65x = 112,847,523,170.64
  5. Step 5: Solve for x
    x = 112,847,523,170.64/383,171.65
  6. Step 6: Final answer
    x = 294,509.06

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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.