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Finding the Fourth Proportional to 570,023.41, 786,620.17 and 311,899.32

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Solution

The fourth proportional to 570,023.41, 786,620.17 and 311,899.32 is: 430,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,023.41 : 786,620.17 = 311,899.32 : x
  2. Step 2: Convert to fraction form
    570,023.41/786,620.17 = 311,899.32/x
  3. Step 3: Cross multiply
    570,023.41x = 786,620.17 × 311,899.32
  4. Step 4: Simplify right side
    570,023.41x = 245,346,296,121.28
  5. Step 5: Solve for x
    x = 245,346,296,121.28/570,023.41
  6. Step 6: Final answer
    x = 430,414.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.