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Finding the Fourth Proportional to 286,409.50, 395,245.14 and 159,096.94

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Solution

The fourth proportional to 286,409.50, 395,245.14 and 159,096.94 is: 219,553.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,409.50 : 395,245.14 = 159,096.94 : x
  2. Step 2: Convert to fraction form
    286,409.50/395,245.14 = 159,096.94/x
  3. Step 3: Cross multiply
    286,409.50x = 395,245.14 × 159,096.94
  4. Step 4: Simplify right side
    286,409.50x = 62,882,292,323.87
  5. Step 5: Solve for x
    x = 62,882,292,323.87/286,409.50
  6. Step 6: Final answer
    x = 219,553.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.