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Finding the Fourth Proportional to 413,850.40, 620,883.60 and 133,374.40

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Solution

The fourth proportional to 413,850.40, 620,883.60 and 133,374.40 is: 200,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,850.40 : 620,883.60 = 133,374.40 : x
  2. Step 2: Convert to fraction form
    413,850.40/620,883.60 = 133,374.40/x
  3. Step 3: Cross multiply
    413,850.40x = 620,883.60 × 133,374.40
  4. Step 4: Simplify right side
    413,850.40x = 82,809,977,619.84
  5. Step 5: Solve for x
    x = 82,809,977,619.84/413,850.40
  6. Step 6: Final answer
    x = 200,096.41

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1.5x scale

Why These Related Problems?

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