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Finding the Fourth Proportional to 420,102.44, 579,718.32 and 238,789.16

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Solution

The fourth proportional to 420,102.44, 579,718.32 and 238,789.16 is: 329,515.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,102.44 : 579,718.32 = 238,789.16 : x
  2. Step 2: Convert to fraction form
    420,102.44/579,718.32 = 238,789.16/x
  3. Step 3: Cross multiply
    420,102.44x = 579,718.32 × 238,789.16
  4. Step 4: Simplify right side
    420,102.44x = 138,430,450,669.41
  5. Step 5: Solve for x
    x = 138,430,450,669.41/420,102.44
  6. Step 6: Final answer
    x = 329,515.94

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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.