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Finding the Fourth Proportional to 420,234.84, 579,921.40 and 238,946.77

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Solution

The fourth proportional to 420,234.84, 579,921.40 and 238,946.77 is: 329,745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,234.84 : 579,921.40 = 238,946.77 : x
  2. Step 2: Convert to fraction form
    420,234.84/579,921.40 = 238,946.77/x
  3. Step 3: Cross multiply
    420,234.84x = 579,921.40 × 238,946.77
  4. Step 4: Simplify right side
    420,234.84x = 138,570,345,383.88
  5. Step 5: Solve for x
    x = 138,570,345,383.88/420,234.84
  6. Step 6: Final answer
    x = 329,745.02

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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.