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Finding the Fourth Proportional to 360,942.80, 542,216.10 and 301,893.80

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Solution

The fourth proportional to 360,942.80, 542,216.10 and 301,893.80 is: 453,511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,942.80 : 542,216.10 = 301,893.80 : x
  2. Step 2: Convert to fraction form
    360,942.80/542,216.10 = 301,893.80/x
  3. Step 3: Cross multiply
    360,942.80x = 542,216.10 × 301,893.80
  4. Step 4: Simplify right side
    360,942.80x = 163,691,678,850.18
  5. Step 5: Solve for x
    x = 163,691,678,850.18/360,942.80
  6. Step 6: Final answer
    x = 453,511.41

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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.