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Finding the Fourth Proportional to 416,059.60, 624,305.40 and 194,443.60

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Solution

The fourth proportional to 416,059.60, 624,305.40 and 194,443.60 is: 291,766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,059.60 : 624,305.40 = 194,443.60 : x
  2. Step 2: Convert to fraction form
    416,059.60/624,305.40 = 194,443.60/x
  3. Step 3: Cross multiply
    416,059.60x = 624,305.40 × 194,443.60
  4. Step 4: Simplify right side
    416,059.60x = 121,392,189,475.44
  5. Step 5: Solve for x
    x = 121,392,189,475.44/416,059.60
  6. Step 6: Final answer
    x = 291,766.35

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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.