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Finding the Fourth Proportional to 313,938.37, 470,907.46 and 92,322.37

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Solution

The fourth proportional to 313,938.37, 470,907.46 and 92,322.37 is: 138,483.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,938.37 : 470,907.46 = 92,322.37 : x
  2. Step 2: Convert to fraction form
    313,938.37/470,907.46 = 92,322.37/x
  3. Step 3: Cross multiply
    313,938.37x = 470,907.46 × 92,322.37
  4. Step 4: Simplify right side
    313,938.37x = 43,475,292,757.88
  5. Step 5: Solve for x
    x = 43,475,292,757.88/313,938.37
  6. Step 6: Final answer
    x = 138,483.53

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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.