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Finding the Fourth Proportional to 509,405.60, 764,108.40 and 454,293.20

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Solution

The fourth proportional to 509,405.60, 764,108.40 and 454,293.20 is: 681,439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,405.60 : 764,108.40 = 454,293.20 : x
  2. Step 2: Convert to fraction form
    509,405.60/764,108.40 = 454,293.20/x
  3. Step 3: Cross multiply
    509,405.60x = 764,108.40 × 454,293.20
  4. Step 4: Simplify right side
    509,405.60x = 347,129,250,182.88
  5. Step 5: Solve for x
    x = 347,129,250,182.88/509,405.60
  6. Step 6: Final answer
    x = 681,439.80

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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.