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Finding the Fourth Proportional to 400,222.30, 600,423 and 210,771.86

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Solution

The fourth proportional to 400,222.30, 600,423 and 210,771.86 is: 316,204.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,222.30 : 600,423 = 210,771.86 : x
  2. Step 2: Convert to fraction form
    400,222.30/600,423 = 210,771.86/x
  3. Step 3: Cross multiply
    400,222.30x = 600,423 × 210,771.86
  4. Step 4: Simplify right side
    400,222.30x = 126,552,272,496.78
  5. Step 5: Solve for x
    x = 126,552,272,496.78/400,222.30
  6. Step 6: Final answer
    x = 316,204.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.