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Finding the Fourth Proportional to 509,766.20, 764,649.30 and 438,907.40

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Solution

The fourth proportional to 509,766.20, 764,649.30 and 438,907.40 is: 658,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,766.20 : 764,649.30 = 438,907.40 : x
  2. Step 2: Convert to fraction form
    509,766.20/764,649.30 = 438,907.40/x
  3. Step 3: Cross multiply
    509,766.20x = 764,649.30 × 438,907.40
  4. Step 4: Simplify right side
    509,766.20x = 335,610,236,174.82
  5. Step 5: Solve for x
    x = 335,610,236,174.82/509,766.20
  6. Step 6: Final answer
    x = 658,361.10

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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.