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Finding the Fourth Proportional to 509,481.99, 763,927.79 and 209,623.84

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Solution

The fourth proportional to 509,481.99, 763,927.79 and 209,623.84 is: 314,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,481.99 : 763,927.79 = 209,623.84 : x
  2. Step 2: Convert to fraction form
    509,481.99/763,927.79 = 209,623.84/x
  3. Step 3: Cross multiply
    509,481.99x = 763,927.79 × 209,623.84
  4. Step 4: Simplify right side
    509,481.99x = 160,137,476,822.51
  5. Step 5: Solve for x
    x = 160,137,476,822.51/509,481.99
  6. Step 6: Final answer
    x = 314,314.30

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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.