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Finding the Fourth Proportional to 645,170, 890,334.60 and 362,546

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Solution

The fourth proportional to 645,170, 890,334.60 and 362,546 is: 500,313.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,170 : 890,334.60 = 362,546 : x
  2. Step 2: Convert to fraction form
    645,170/890,334.60 = 362,546/x
  3. Step 3: Cross multiply
    645,170x = 890,334.60 × 362,546
  4. Step 4: Simplify right side
    645,170x = 322,787,247,891.60
  5. Step 5: Solve for x
    x = 322,787,247,891.60/645,170
  6. Step 6: Final answer
    x = 500,313.48

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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.