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Finding the Fourth Proportional to 315,251.20, 472,099.20 and 209,497.60

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Solution

The fourth proportional to 315,251.20, 472,099.20 and 209,497.60 is: 313,729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,251.20 : 472,099.20 = 209,497.60 : x
  2. Step 2: Convert to fraction form
    315,251.20/472,099.20 = 209,497.60/x
  3. Step 3: Cross multiply
    315,251.20x = 472,099.20 × 209,497.60
  4. Step 4: Simplify right side
    315,251.20x = 98,903,649,361.92
  5. Step 5: Solve for x
    x = 98,903,649,361.92/315,251.20
  6. Step 6: Final answer
    x = 313,729.65

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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.