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Finding the Fourth Proportional to 384,914.28, 531,170.72 and 212,829.28

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Solution

The fourth proportional to 384,914.28, 531,170.72 and 212,829.28 is: 293,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,914.28 : 531,170.72 = 212,829.28 : x
  2. Step 2: Convert to fraction form
    384,914.28/531,170.72 = 212,829.28/x
  3. Step 3: Cross multiply
    384,914.28x = 531,170.72 × 212,829.28
  4. Step 4: Simplify right side
    384,914.28x = 113,048,680,830.54
  5. Step 5: Solve for x
    x = 113,048,680,830.54/384,914.28
  6. Step 6: Final answer
    x = 293,698.33

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