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Finding the Fourth Proportional to 217,790.50, 299,617.77 and 208,459.30

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Solution

The fourth proportional to 217,790.50, 299,617.77 and 208,459.30 is: 286,780.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,790.50 : 299,617.77 = 208,459.30 : x
  2. Step 2: Convert to fraction form
    217,790.50/299,617.77 = 208,459.30/x
  3. Step 3: Cross multiply
    217,790.50x = 299,617.77 × 208,459.30
  4. Step 4: Simplify right side
    217,790.50x = 62,458,110,601.76
  5. Step 5: Solve for x
    x = 62,458,110,601.76/217,790.50
  6. Step 6: Final answer
    x = 286,780.69

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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.