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Finding the Fourth Proportional to 307,174.82, 423,903.20 and 171,217.38

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Solution

The fourth proportional to 307,174.82, 423,903.20 and 171,217.38 is: 236,281.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,174.82 : 423,903.20 = 171,217.38 : x
  2. Step 2: Convert to fraction form
    307,174.82/423,903.20 = 171,217.38/x
  3. Step 3: Cross multiply
    307,174.82x = 423,903.20 × 171,217.38
  4. Step 4: Simplify right side
    307,174.82x = 72,579,594,421.53
  5. Step 5: Solve for x
    x = 72,579,594,421.53/307,174.82
  6. Step 6: Final answer
    x = 236,281.07

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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.