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Finding the Fourth Proportional to 486,041.44, 729,180.48 and 161,828.69

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Solution

The fourth proportional to 486,041.44, 729,180.48 and 161,828.69 is: 242,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,041.44 : 729,180.48 = 161,828.69 : x
  2. Step 2: Convert to fraction form
    486,041.44/729,180.48 = 161,828.69/x
  3. Step 3: Cross multiply
    486,041.44x = 729,180.48 × 161,828.69
  4. Step 4: Simplify right side
    486,041.44x = 118,002,321,233.89
  5. Step 5: Solve for x
    x = 118,002,321,233.89/486,041.44
  6. Step 6: Final answer
    x = 242,782.43

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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.