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Finding the Fourth Proportional to 492,388.44, 738,582.64 and 380,232.60

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Solution

The fourth proportional to 492,388.44, 738,582.64 and 380,232.60 is: 570,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,388.44 : 738,582.64 = 380,232.60 : x
  2. Step 2: Convert to fraction form
    492,388.44/738,582.64 = 380,232.60/x
  3. Step 3: Cross multiply
    492,388.44x = 738,582.64 × 380,232.60
  4. Step 4: Simplify right side
    492,388.44x = 280,833,197,522.06
  5. Step 5: Solve for x
    x = 280,833,197,522.06/492,388.44
  6. Step 6: Final answer
    x = 570,348.88

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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.