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Finding the Fourth Proportional to 456,076.20, 684,114.30 and 288,114.60

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Solution

The fourth proportional to 456,076.20, 684,114.30 and 288,114.60 is: 432,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,076.20 : 684,114.30 = 288,114.60 : x
  2. Step 2: Convert to fraction form
    456,076.20/684,114.30 = 288,114.60/x
  3. Step 3: Cross multiply
    456,076.20x = 684,114.30 × 288,114.60
  4. Step 4: Simplify right side
    456,076.20x = 197,103,317,898.78
  5. Step 5: Solve for x
    x = 197,103,317,898.78/456,076.20
  6. Step 6: Final answer
    x = 432,171.90

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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.