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Finding the Fourth Proportional to 654,142.60, 981,330.54 and 180,817.48

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Solution

The fourth proportional to 654,142.60, 981,330.54 and 180,817.48 is: 271,258.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,142.60 : 981,330.54 = 180,817.48 : x
  2. Step 2: Convert to fraction form
    654,142.60/981,330.54 = 180,817.48/x
  3. Step 3: Cross multiply
    654,142.60x = 981,330.54 × 180,817.48
  4. Step 4: Simplify right side
    654,142.60x = 177,441,715,289.84
  5. Step 5: Solve for x
    x = 177,441,715,289.84/654,142.60
  6. Step 6: Final answer
    x = 271,258.46

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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.