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Finding the Fourth Proportional to 613,907.63, 921,003.90 and 193,172.57

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Solution

The fourth proportional to 613,907.63, 921,003.90 and 193,172.57 is: 289,803.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,907.63 : 921,003.90 = 193,172.57 : x
  2. Step 2: Convert to fraction form
    613,907.63/921,003.90 = 193,172.57/x
  3. Step 3: Cross multiply
    613,907.63x = 921,003.90 × 193,172.57
  4. Step 4: Simplify right side
    613,907.63x = 177,912,684,772.14
  5. Step 5: Solve for x
    x = 177,912,684,772.14/613,907.63
  6. Step 6: Final answer
    x = 289,803.67

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Why These Related Problems?

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