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Finding the Fourth Proportional to 541,922.70, 746,147.12 and 460,089.09

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Solution

The fourth proportional to 541,922.70, 746,147.12 and 460,089.09 is: 633,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,922.70 : 746,147.12 = 460,089.09 : x
  2. Step 2: Convert to fraction form
    541,922.70/746,147.12 = 460,089.09/x
  3. Step 3: Cross multiply
    541,922.70x = 746,147.12 × 460,089.09
  4. Step 4: Simplify right side
    541,922.70x = 343,294,147,146.48
  5. Step 5: Solve for x
    x = 343,294,147,146.48/541,922.70
  6. Step 6: Final answer
    x = 633,474.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.