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Finding the Fourth Proportional to 582,974.02, 874,715.16 and 204,166.50

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Solution

The fourth proportional to 582,974.02, 874,715.16 and 204,166.50 is: 306,338.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,974.02 : 874,715.16 = 204,166.50 : x
  2. Step 2: Convert to fraction form
    582,974.02/874,715.16 = 204,166.50/x
  3. Step 3: Cross multiply
    582,974.02x = 874,715.16 × 204,166.50
  4. Step 4: Simplify right side
    582,974.02x = 178,587,532,714.14
  5. Step 5: Solve for x
    x = 178,587,532,714.14/582,974.02
  6. Step 6: Final answer
    x = 306,338.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.