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Finding the Fourth Proportional to 307,807.26, 423,826.59 and 262,383.42

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Solution

The fourth proportional to 307,807.26, 423,826.59 and 262,383.42 is: 361,281.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,807.26 : 423,826.59 = 262,383.42 : x
  2. Step 2: Convert to fraction form
    307,807.26/423,826.59 = 262,383.42/x
  3. Step 3: Cross multiply
    307,807.26x = 423,826.59 × 262,383.42
  4. Step 4: Simplify right side
    307,807.26x = 111,205,070,171.14
  5. Step 5: Solve for x
    x = 111,205,070,171.14/307,807.26
  6. Step 6: Final answer
    x = 361,281.51

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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.