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Finding the Fourth Proportional to 664,257.20, 916,648.43 and 392,412.38

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Solution

The fourth proportional to 664,257.20, 916,648.43 and 392,412.38 is: 541,513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,257.20 : 916,648.43 = 392,412.38 : x
  2. Step 2: Convert to fraction form
    664,257.20/916,648.43 = 392,412.38/x
  3. Step 3: Cross multiply
    664,257.20x = 916,648.43 × 392,412.38
  4. Step 4: Simplify right side
    664,257.20x = 359,704,185,494.26
  5. Step 5: Solve for x
    x = 359,704,185,494.26/664,257.20
  6. Step 6: Final answer
    x = 541,513.42

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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.