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Finding the Fourth Proportional to 471,805.70, 707,708.55 and 378,493.70

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Solution

The fourth proportional to 471,805.70, 707,708.55 and 378,493.70 is: 567,740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,805.70 : 707,708.55 = 378,493.70 : x
  2. Step 2: Convert to fraction form
    471,805.70/707,708.55 = 378,493.70/x
  3. Step 3: Cross multiply
    471,805.70x = 707,708.55 × 378,493.70
  4. Step 4: Simplify right side
    471,805.70x = 267,863,227,611.14
  5. Step 5: Solve for x
    x = 267,863,227,611.14/471,805.70
  6. Step 6: Final answer
    x = 567,740.55

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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.