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Finding the Fourth Proportional to 509,204.50, 763,949.72 and 149,383.85

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Solution

The fourth proportional to 509,204.50, 763,949.72 and 149,383.85 is: 224,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,204.50 : 763,949.72 = 149,383.85 : x
  2. Step 2: Convert to fraction form
    509,204.50/763,949.72 = 149,383.85/x
  3. Step 3: Cross multiply
    509,204.50x = 763,949.72 × 149,383.85
  4. Step 4: Simplify right side
    509,204.50x = 114,121,746,933.73
  5. Step 5: Solve for x
    x = 114,121,746,933.73/509,204.50
  6. Step 6: Final answer
    x = 224,117.71

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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.