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Finding the Fourth Proportional to 497,016, 745,524 and 123,039

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Solution

The fourth proportional to 497,016, 745,524 and 123,039 is: 184,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,016 : 745,524 = 123,039 : x
  2. Step 2: Convert to fraction form
    497,016/745,524 = 123,039/x
  3. Step 3: Cross multiply
    497,016x = 745,524 × 123,039
  4. Step 4: Simplify right side
    497,016x = 91,728,527,436
  5. Step 5: Solve for x
    x = 91,728,527,436/497,016
  6. Step 6: Final answer
    x = 184,558.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.