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Finding the Fourth Proportional to 275,842.24, 413,762.74 and 73,438.40

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Solution

The fourth proportional to 275,842.24, 413,762.74 and 73,438.40 is: 110,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,842.24 : 413,762.74 = 73,438.40 : x
  2. Step 2: Convert to fraction form
    275,842.24/413,762.74 = 73,438.40/x
  3. Step 3: Cross multiply
    275,842.24x = 413,762.74 × 73,438.40
  4. Step 4: Simplify right side
    275,842.24x = 30,386,073,605.22
  5. Step 5: Solve for x
    x = 30,386,073,605.22/275,842.24
  6. Step 6: Final answer
    x = 110,157.43

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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.