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Finding the Fourth Proportional to 481,658.40, 721,969.20 and 182,023.20

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Solution

The fourth proportional to 481,658.40, 721,969.20 and 182,023.20 is: 272,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,658.40 : 721,969.20 = 182,023.20 : x
  2. Step 2: Convert to fraction form
    481,658.40/721,969.20 = 182,023.20/x
  3. Step 3: Cross multiply
    481,658.40x = 721,969.20 × 182,023.20
  4. Step 4: Simplify right side
    481,658.40x = 131,415,144,085.44
  5. Step 5: Solve for x
    x = 131,415,144,085.44/481,658.40
  6. Step 6: Final answer
    x = 272,838.89

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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.