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Finding the Fourth Proportional to 416,144.96, 624,009.60 and 135,627.20

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Solution

The fourth proportional to 416,144.96, 624,009.60 and 135,627.20 is: 203,373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,144.96 : 624,009.60 = 135,627.20 : x
  2. Step 2: Convert to fraction form
    416,144.96/624,009.60 = 135,627.20/x
  3. Step 3: Cross multiply
    416,144.96x = 624,009.60 × 135,627.20
  4. Step 4: Simplify right side
    416,144.96x = 84,632,674,821.12
  5. Step 5: Solve for x
    x = 84,632,674,821.12/416,144.96
  6. Step 6: Final answer
    x = 203,373.06

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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.