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Finding the Fourth Proportional to 432,546.80, 648,625.80 and 166,218.80

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Solution

The fourth proportional to 432,546.80, 648,625.80 and 166,218.80 is: 249,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,546.80 : 648,625.80 = 166,218.80 : x
  2. Step 2: Convert to fraction form
    432,546.80/648,625.80 = 166,218.80/x
  3. Step 3: Cross multiply
    432,546.80x = 648,625.80 × 166,218.80
  4. Step 4: Simplify right side
    432,546.80x = 107,813,802,125.04
  5. Step 5: Solve for x
    x = 107,813,802,125.04/432,546.80
  6. Step 6: Final answer
    x = 249,253.50

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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.