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Finding the Fourth Proportional to 330,907.86, 456,648.57 and 180,004.86

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Solution

The fourth proportional to 330,907.86, 456,648.57 and 180,004.86 is: 248,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,907.86 : 456,648.57 = 180,004.86 : x
  2. Step 2: Convert to fraction form
    330,907.86/456,648.57 = 180,004.86/x
  3. Step 3: Cross multiply
    330,907.86x = 456,648.57 × 180,004.86
  4. Step 4: Simplify right side
    330,907.86x = 82,198,961,912.05
  5. Step 5: Solve for x
    x = 82,198,961,912.05/330,907.86
  6. Step 6: Final answer
    x = 248,404.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.