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Finding the Fourth Proportional to 512,478.70, 768,718.05 and 291,294.70

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Solution

The fourth proportional to 512,478.70, 768,718.05 and 291,294.70 is: 436,942.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,478.70 : 768,718.05 = 291,294.70 : x
  2. Step 2: Convert to fraction form
    512,478.70/768,718.05 = 291,294.70/x
  3. Step 3: Cross multiply
    512,478.70x = 768,718.05 × 291,294.70
  4. Step 4: Simplify right side
    512,478.70x = 223,923,493,759.34
  5. Step 5: Solve for x
    x = 223,923,493,759.34/512,478.70
  6. Step 6: Final answer
    x = 436,942.05

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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.