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Finding the Fourth Proportional to 512,828.22, 707,558.85 and 295,025.52

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Solution

The fourth proportional to 512,828.22, 707,558.85 and 295,025.52 is: 407,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,828.22 : 707,558.85 = 295,025.52 : x
  2. Step 2: Convert to fraction form
    512,828.22/707,558.85 = 295,025.52/x
  3. Step 3: Cross multiply
    512,828.22x = 707,558.85 × 295,025.52
  4. Step 4: Simplify right side
    512,828.22x = 208,747,917,651.85
  5. Step 5: Solve for x
    x = 208,747,917,651.85/512,828.22
  6. Step 6: Final answer
    x = 407,052.32

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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.