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Finding the Fourth Proportional to 432,577.80, 648,928.80 and 133,083.54

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Solution

The fourth proportional to 432,577.80, 648,928.80 and 133,083.54 is: 199,644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,577.80 : 648,928.80 = 133,083.54 : x
  2. Step 2: Convert to fraction form
    432,577.80/648,928.80 = 133,083.54/x
  3. Step 3: Cross multiply
    432,577.80x = 648,928.80 × 133,083.54
  4. Step 4: Simplify right side
    432,577.80x = 86,361,741,911.95
  5. Step 5: Solve for x
    x = 86,361,741,911.95/432,577.80
  6. Step 6: Final answer
    x = 199,644.42

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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.