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Finding the Fourth Proportional to 408,064.20, 612,096.30 and 380,070.60

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Solution

The fourth proportional to 408,064.20, 612,096.30 and 380,070.60 is: 570,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,064.20 : 612,096.30 = 380,070.60 : x
  2. Step 2: Convert to fraction form
    408,064.20/612,096.30 = 380,070.60/x
  3. Step 3: Cross multiply
    408,064.20x = 612,096.30 × 380,070.60
  4. Step 4: Simplify right side
    408,064.20x = 232,639,807,998.78
  5. Step 5: Solve for x
    x = 232,639,807,998.78/408,064.20
  6. Step 6: Final answer
    x = 570,105.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.