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Finding the Fourth Proportional to 446,213.56, 615,546.30 and 284,899

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Solution

The fourth proportional to 446,213.56, 615,546.30 and 284,899 is: 393,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,213.56 : 615,546.30 = 284,899 : x
  2. Step 2: Convert to fraction form
    446,213.56/615,546.30 = 284,899/x
  3. Step 3: Cross multiply
    446,213.56x = 615,546.30 × 284,899
  4. Step 4: Simplify right side
    446,213.56x = 175,368,525,323.70
  5. Step 5: Solve for x
    x = 175,368,525,323.70/446,213.56
  6. Step 6: Final answer
    x = 393,014.78

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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.