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Finding the Fourth Proportional to 423,760.88, 584,794.31 and 230,172.36

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Solution

The fourth proportional to 423,760.88, 584,794.31 and 230,172.36 is: 317,640.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,760.88 : 584,794.31 = 230,172.36 : x
  2. Step 2: Convert to fraction form
    423,760.88/584,794.31 = 230,172.36/x
  3. Step 3: Cross multiply
    423,760.88x = 584,794.31 × 230,172.36
  4. Step 4: Simplify right side
    423,760.88x = 134,603,485,296.41
  5. Step 5: Solve for x
    x = 134,603,485,296.41/423,760.88
  6. Step 6: Final answer
    x = 317,640.19

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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.