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Finding the Fourth Proportional to 467,783.19, 701,078.22 and 227,954.34

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Solution

The fourth proportional to 467,783.19, 701,078.22 and 227,954.34 is: 341,640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,783.19 : 701,078.22 = 227,954.34 : x
  2. Step 2: Convert to fraction form
    467,783.19/701,078.22 = 227,954.34/x
  3. Step 3: Cross multiply
    467,783.19x = 701,078.22 × 227,954.34
  4. Step 4: Simplify right side
    467,783.19x = 159,813,822,928.48
  5. Step 5: Solve for x
    x = 159,813,822,928.48/467,783.19
  6. Step 6: Final answer
    x = 341,640.80

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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.