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Finding the Fourth Proportional to 422,328.69, 633,554.80 and 122,770.35

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Solution

The fourth proportional to 422,328.69, 633,554.80 and 122,770.35 is: 184,173.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,328.69 : 633,554.80 = 122,770.35 : x
  2. Step 2: Convert to fraction form
    422,328.69/633,554.80 = 122,770.35/x
  3. Step 3: Cross multiply
    422,328.69x = 633,554.80 × 122,770.35
  4. Step 4: Simplify right side
    422,328.69x = 77,781,744,233.25
  5. Step 5: Solve for x
    x = 77,781,744,233.25/422,328.69
  6. Step 6: Final answer
    x = 184,173.48

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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.