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Finding the Fourth Proportional to 509,362.96, 763,780.76 and 228,638.48

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Solution

The fourth proportional to 509,362.96, 763,780.76 and 228,638.48 is: 342,839.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,362.96 : 763,780.76 = 228,638.48 : x
  2. Step 2: Convert to fraction form
    509,362.96/763,780.76 = 228,638.48/x
  3. Step 3: Cross multiply
    509,362.96x = 763,780.76 × 228,638.48
  4. Step 4: Simplify right side
    509,362.96x = 174,629,672,019.65
  5. Step 5: Solve for x
    x = 174,629,672,019.65/509,362.96
  6. Step 6: Final answer
    x = 342,839.36

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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.