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Finding the Fourth Proportional to 419,775.84, 579,305.16 and 238,495.32

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Solution

The fourth proportional to 419,775.84, 579,305.16 and 238,495.32 is: 329,131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,775.84 : 579,305.16 = 238,495.32 : x
  2. Step 2: Convert to fraction form
    419,775.84/579,305.16 = 238,495.32/x
  3. Step 3: Cross multiply
    419,775.84x = 579,305.16 × 238,495.32
  4. Step 4: Simplify right side
    419,775.84x = 138,161,569,511.85
  5. Step 5: Solve for x
    x = 138,161,569,511.85/419,775.84
  6. Step 6: Final answer
    x = 329,131.78

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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.