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Finding the Fourth Proportional to 419,980.34, 579,558.44 and 238,689.11

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Solution

The fourth proportional to 419,980.34, 579,558.44 and 238,689.11 is: 329,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,980.34 : 579,558.44 = 238,689.11 : x
  2. Step 2: Convert to fraction form
    419,980.34/579,558.44 = 238,689.11/x
  3. Step 3: Cross multiply
    419,980.34x = 579,558.44 × 238,689.11
  4. Step 4: Simplify right side
    419,980.34x = 138,334,287,043.14
  5. Step 5: Solve for x
    x = 138,334,287,043.14/419,980.34
  6. Step 6: Final answer
    x = 329,382.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.