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Finding the Fourth Proportional to 307,766.80, 460,599.90 and 257,903.20

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Solution

The fourth proportional to 307,766.80, 460,599.90 and 257,903.20 is: 385,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,766.80 : 460,599.90 = 257,903.20 : x
  2. Step 2: Convert to fraction form
    307,766.80/460,599.90 = 257,903.20/x
  3. Step 3: Cross multiply
    307,766.80x = 460,599.90 × 257,903.20
  4. Step 4: Simplify right side
    307,766.80x = 118,790,188,129.68
  5. Step 5: Solve for x
    x = 118,790,188,129.68/307,766.80
  6. Step 6: Final answer
    x = 385,974.67

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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.