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Finding the Fourth Proportional to 462,542.40, 638,296.20 and 261,338.40

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Solution

The fourth proportional to 462,542.40, 638,296.20 and 261,338.40 is: 360,640.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,542.40 : 638,296.20 = 261,338.40 : x
  2. Step 2: Convert to fraction form
    462,542.40/638,296.20 = 261,338.40/x
  3. Step 3: Cross multiply
    462,542.40x = 638,296.20 × 261,338.40
  4. Step 4: Simplify right side
    462,542.40x = 166,811,307,634.08
  5. Step 5: Solve for x
    x = 166,811,307,634.08/462,542.40
  6. Step 6: Final answer
    x = 360,640.04

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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.