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Finding the Fourth Proportional to 323,788.80, 485,683.20 and 311,347.20

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Solution

The fourth proportional to 323,788.80, 485,683.20 and 311,347.20 is: 467,020.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,788.80 : 485,683.20 = 311,347.20 : x
  2. Step 2: Convert to fraction form
    323,788.80/485,683.20 = 311,347.20/x
  3. Step 3: Cross multiply
    323,788.80x = 485,683.20 × 311,347.20
  4. Step 4: Simplify right side
    323,788.80x = 151,216,104,407.04
  5. Step 5: Solve for x
    x = 151,216,104,407.04/323,788.80
  6. Step 6: Final answer
    x = 467,020.80

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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.