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Finding the Fourth Proportional to 419,927.56, 579,143.52 and 354,835.28

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Solution

The fourth proportional to 419,927.56, 579,143.52 and 354,835.28 is: 489,371.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,927.56 : 579,143.52 = 354,835.28 : x
  2. Step 2: Convert to fraction form
    419,927.56/579,143.52 = 354,835.28/x
  3. Step 3: Cross multiply
    419,927.56x = 579,143.52 × 354,835.28
  4. Step 4: Simplify right side
    419,927.56x = 205,500,553,079.39
  5. Step 5: Solve for x
    x = 205,500,553,079.39/419,927.56
  6. Step 6: Final answer
    x = 489,371.44

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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.