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Finding the Fourth Proportional to 339,493.24, 468,508.54 and 186,541

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Solution

The fourth proportional to 339,493.24, 468,508.54 and 186,541 is: 257,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,493.24 : 468,508.54 = 186,541 : x
  2. Step 2: Convert to fraction form
    339,493.24/468,508.54 = 186,541/x
  3. Step 3: Cross multiply
    339,493.24x = 468,508.54 × 186,541
  4. Step 4: Simplify right side
    339,493.24x = 87,396,051,560.14
  5. Step 5: Solve for x
    x = 87,396,051,560.14/339,493.24
  6. Step 6: Final answer
    x = 257,430.90

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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.