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Finding the Fourth Proportional to 481,744.65, 722,575.98 and 197,354.01

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Solution

The fourth proportional to 481,744.65, 722,575.98 and 197,354.01 is: 296,014.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,744.65 : 722,575.98 = 197,354.01 : x
  2. Step 2: Convert to fraction form
    481,744.65/722,575.98 = 197,354.01/x
  3. Step 3: Cross multiply
    481,744.65x = 722,575.98 × 197,354.01
  4. Step 4: Simplify right side
    481,744.65x = 142,603,267,182.68
  5. Step 5: Solve for x
    x = 142,603,267,182.68/481,744.65
  6. Step 6: Final answer
    x = 296,014.22

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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.