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Finding the Fourth Proportional to 275,813.30, 413,670.63 and 73,410.50

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Solution

The fourth proportional to 275,813.30, 413,670.63 and 73,410.50 is: 110,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,813.30 : 413,670.63 = 73,410.50 : x
  2. Step 2: Convert to fraction form
    275,813.30/413,670.63 = 73,410.50/x
  3. Step 3: Cross multiply
    275,813.30x = 413,670.63 × 73,410.50
  4. Step 4: Simplify right side
    275,813.30x = 30,367,767,783.62
  5. Step 5: Solve for x
    x = 30,367,767,783.62/275,813.30
  6. Step 6: Final answer
    x = 110,102.62

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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.