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Finding the Fourth Proportional to 306,800.20, 460,012.38 and 119,593

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Solution

The fourth proportional to 306,800.20, 460,012.38 and 119,593 is: 179,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,800.20 : 460,012.38 = 119,593 : x
  2. Step 2: Convert to fraction form
    306,800.20/460,012.38 = 119,593/x
  3. Step 3: Cross multiply
    306,800.20x = 460,012.38 × 119,593
  4. Step 4: Simplify right side
    306,800.20x = 55,014,260,561.34
  5. Step 5: Solve for x
    x = 55,014,260,561.34/306,800.20
  6. Step 6: Final answer
    x = 179,316.25

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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.