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Finding the Fourth Proportional to 307,729.35, 461,550.83 and 97,388.55

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Solution

The fourth proportional to 307,729.35, 461,550.83 and 97,388.55 is: 146,069.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,729.35 : 461,550.83 = 97,388.55 : x
  2. Step 2: Convert to fraction form
    307,729.35/461,550.83 = 97,388.55/x
  3. Step 3: Cross multiply
    307,729.35x = 461,550.83 × 97,388.55
  4. Step 4: Simplify right side
    307,729.35x = 44,949,765,598.05
  5. Step 5: Solve for x
    x = 44,949,765,598.05/307,729.35
  6. Step 6: Final answer
    x = 146,069.15

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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.