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Finding the Fourth Proportional to 509,005.11, 762,982.79 and 228,719.19

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Solution

The fourth proportional to 509,005.11, 762,982.79 and 228,719.19 is: 342,842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,005.11 : 762,982.79 = 228,719.19 : x
  2. Step 2: Convert to fraction form
    509,005.11/762,982.79 = 228,719.19/x
  3. Step 3: Cross multiply
    509,005.11x = 762,982.79 × 228,719.19
  4. Step 4: Simplify right side
    509,005.11x = 174,508,808,716.88
  5. Step 5: Solve for x
    x = 174,508,808,716.88/509,005.11
  6. Step 6: Final answer
    x = 342,842.94

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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.