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Finding the Fourth Proportional to 413,546.60, 620,319.90 and 164,228.60

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Solution

The fourth proportional to 413,546.60, 620,319.90 and 164,228.60 is: 246,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,546.60 : 620,319.90 = 164,228.60 : x
  2. Step 2: Convert to fraction form
    413,546.60/620,319.90 = 164,228.60/x
  3. Step 3: Cross multiply
    413,546.60x = 620,319.90 × 164,228.60
  4. Step 4: Simplify right side
    413,546.60x = 101,874,268,729.14
  5. Step 5: Solve for x
    x = 101,874,268,729.14/413,546.60
  6. Step 6: Final answer
    x = 246,342.90

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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.