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Finding the Fourth Proportional to 217,789.50, 299,616.39 and 208,458.30

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Solution

The fourth proportional to 217,789.50, 299,616.39 and 208,458.30 is: 286,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,789.50 : 299,616.39 = 208,458.30 : x
  2. Step 2: Convert to fraction form
    217,789.50/299,616.39 = 208,458.30/x
  3. Step 3: Cross multiply
    217,789.50x = 299,616.39 × 208,458.30
  4. Step 4: Simplify right side
    217,789.50x = 62,457,523,311.54
  5. Step 5: Solve for x
    x = 62,457,523,311.54/217,789.50
  6. Step 6: Final answer
    x = 286,779.31

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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.