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Finding the Fourth Proportional to 307,722.80, 461,627.40 and 97,338.80

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Solution

The fourth proportional to 307,722.80, 461,627.40 and 97,338.80 is: 146,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,722.80 : 461,627.40 = 97,338.80 : x
  2. Step 2: Convert to fraction form
    307,722.80/461,627.40 = 97,338.80/x
  3. Step 3: Cross multiply
    307,722.80x = 461,627.40 × 97,338.80
  4. Step 4: Simplify right side
    307,722.80x = 44,934,257,163.12
  5. Step 5: Solve for x
    x = 44,934,257,163.12/307,722.80
  6. Step 6: Final answer
    x = 146,021.87

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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.