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Finding the Fourth Proportional to 597,835.50, 824,971.68 and 336,229.98

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Solution

The fourth proportional to 597,835.50, 824,971.68 and 336,229.98 is: 463,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,835.50 : 824,971.68 = 336,229.98 : x
  2. Step 2: Convert to fraction form
    597,835.50/824,971.68 = 336,229.98/x
  3. Step 3: Cross multiply
    597,835.50x = 824,971.68 × 336,229.98
  4. Step 4: Simplify right side
    597,835.50x = 277,380,211,466.97
  5. Step 5: Solve for x
    x = 277,380,211,466.97/597,835.50
  6. Step 6: Final answer
    x = 463,974.14

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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.