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Finding the Fourth Proportional to 297,583.21, 410,672.85 and 175,084.14

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Solution

The fourth proportional to 297,583.21, 410,672.85 and 175,084.14 is: 241,620.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,583.21 : 410,672.85 = 175,084.14 : x
  2. Step 2: Convert to fraction form
    297,583.21/410,672.85 = 175,084.14/x
  3. Step 3: Cross multiply
    297,583.21x = 410,672.85 × 175,084.14
  4. Step 4: Simplify right side
    297,583.21x = 71,902,302,763.60
  5. Step 5: Solve for x
    x = 71,902,302,763.60/297,583.21
  6. Step 6: Final answer
    x = 241,620.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.