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Finding the Fourth Proportional to 384,892.44, 531,130.02 and 212,800.38

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Solution

The fourth proportional to 384,892.44, 531,130.02 and 212,800.38 is: 293,652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,892.44 : 531,130.02 = 212,800.38 : x
  2. Step 2: Convert to fraction form
    384,892.44/531,130.02 = 212,800.38/x
  3. Step 3: Cross multiply
    384,892.44x = 531,130.02 × 212,800.38
  4. Step 4: Simplify right side
    384,892.44x = 113,024,670,085.41
  5. Step 5: Solve for x
    x = 113,024,670,085.41/384,892.44
  6. Step 6: Final answer
    x = 293,652.61

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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.