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Finding the Fourth Proportional to 307,217.40, 460,890.90 and 96,876.60

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Solution

The fourth proportional to 307,217.40, 460,890.90 and 96,876.60 is: 145,335.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,217.40 : 460,890.90 = 96,876.60 : x
  2. Step 2: Convert to fraction form
    307,217.40/460,890.90 = 96,876.60/x
  3. Step 3: Cross multiply
    307,217.40x = 460,890.90 × 96,876.60
  4. Step 4: Simplify right side
    307,217.40x = 44,649,543,362.94
  5. Step 5: Solve for x
    x = 44,649,543,362.94/307,217.40
  6. Step 6: Final answer
    x = 145,335.33

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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.