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Finding the Fourth Proportional to 307,286.40, 460,929.60 and 96,945.60

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Solution

The fourth proportional to 307,286.40, 460,929.60 and 96,945.60 is: 145,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,286.40 : 460,929.60 = 96,945.60 : x
  2. Step 2: Convert to fraction form
    307,286.40/460,929.60 = 96,945.60/x
  3. Step 3: Cross multiply
    307,286.40x = 460,929.60 × 96,945.60
  4. Step 4: Simplify right side
    307,286.40x = 44,685,096,629.76
  5. Step 5: Solve for x
    x = 44,685,096,629.76/307,286.40
  6. Step 6: Final answer
    x = 145,418.40

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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.