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Finding the Fourth Proportional to 307,745.69, 424,759.91 and 180,462.29

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Solution

The fourth proportional to 307,745.69, 424,759.91 and 180,462.29 is: 249,079.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,745.69 : 424,759.91 = 180,462.29 : x
  2. Step 2: Convert to fraction form
    307,745.69/424,759.91 = 180,462.29/x
  3. Step 3: Cross multiply
    307,745.69x = 424,759.91 × 180,462.29
  4. Step 4: Simplify right side
    307,745.69x = 76,653,146,058.79
  5. Step 5: Solve for x
    x = 76,653,146,058.79/307,745.69
  6. Step 6: Final answer
    x = 249,079.51

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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.