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Finding the Fourth Proportional to 471,804.20, 707,706.30 and 378,492.20

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Solution

The fourth proportional to 471,804.20, 707,706.30 and 378,492.20 is: 567,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,804.20 : 707,706.30 = 378,492.20 : x
  2. Step 2: Convert to fraction form
    471,804.20/707,706.30 = 378,492.20/x
  3. Step 3: Cross multiply
    471,804.20x = 707,706.30 × 378,492.20
  4. Step 4: Simplify right side
    471,804.20x = 267,861,314,440.86
  5. Step 5: Solve for x
    x = 267,861,314,440.86/471,804.20
  6. Step 6: Final answer
    x = 567,738.30

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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.