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Finding the Fourth Proportional to 312,483.11, 467,924.04 and 216,287.06

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Solution

The fourth proportional to 312,483.11, 467,924.04 and 216,287.06 is: 323,876.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,483.11 : 467,924.04 = 216,287.06 : x
  2. Step 2: Convert to fraction form
    312,483.11/467,924.04 = 216,287.06/x
  3. Step 3: Cross multiply
    312,483.11x = 467,924.04 × 216,287.06
  4. Step 4: Simplify right side
    312,483.11x = 101,205,912,575.30
  5. Step 5: Solve for x
    x = 101,205,912,575.30/312,483.11
  6. Step 6: Final answer
    x = 323,876.43

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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.