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Finding the Fourth Proportional to 737,716.20, 1,107,611.10 and 457,780.20

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Solution

The fourth proportional to 737,716.20, 1,107,611.10 and 457,780.20 is: 687,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,716.20 : 1,107,611.10 = 457,780.20 : x
  2. Step 2: Convert to fraction form
    737,716.20/1,107,611.10 = 457,780.20/x
  3. Step 3: Cross multiply
    737,716.20x = 1,107,611.10 × 457,780.20
  4. Step 4: Simplify right side
    737,716.20x = 507,042,430,880.22
  5. Step 5: Solve for x
    x = 507,042,430,880.22/737,716.20
  6. Step 6: Final answer
    x = 687,313.67

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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.