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Finding the Fourth Proportional to 597,269.50, 824,231.96 and 328,997.50

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Solution

The fourth proportional to 597,269.50, 824,231.96 and 328,997.50 is: 454,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,269.50 : 824,231.96 = 328,997.50 : x
  2. Step 2: Convert to fraction form
    597,269.50/824,231.96 = 328,997.50/x
  3. Step 3: Cross multiply
    597,269.50x = 824,231.96 × 328,997.50
  4. Step 4: Simplify right side
    597,269.50x = 271,170,254,260.10
  5. Step 5: Solve for x
    x = 271,170,254,260.10/597,269.50
  6. Step 6: Final answer
    x = 454,016.58

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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.