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Finding the Fourth Proportional to 408,052.30, 611,786.85 and 183,228.70

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Solution

The fourth proportional to 408,052.30, 611,786.85 and 183,228.70 is: 274,712.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,052.30 : 611,786.85 = 183,228.70 : x
  2. Step 2: Convert to fraction form
    408,052.30/611,786.85 = 183,228.70/x
  3. Step 3: Cross multiply
    408,052.30x = 611,786.85 × 183,228.70
  4. Step 4: Simplify right side
    408,052.30x = 112,096,909,202.60
  5. Step 5: Solve for x
    x = 112,096,909,202.60/408,052.30
  6. Step 6: Final answer
    x = 274,712.11

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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.