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Finding the Fourth Proportional to 416,431.23, 624,659.60 and 142,873.60

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Solution

The fourth proportional to 416,431.23, 624,659.60 and 142,873.60 is: 214,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,431.23 : 624,659.60 = 142,873.60 : x
  2. Step 2: Convert to fraction form
    416,431.23/624,659.60 = 142,873.60/x
  3. Step 3: Cross multiply
    416,431.23x = 624,659.60 × 142,873.60
  4. Step 4: Simplify right side
    416,431.23x = 89,247,363,232.81
  5. Step 5: Solve for x
    x = 89,247,363,232.81/416,431.23
  6. Step 6: Final answer
    x = 214,314.77

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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.