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Finding the Fourth Proportional to 432,015.80, 648,023.70 and 116,504.60

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Solution

The fourth proportional to 432,015.80, 648,023.70 and 116,504.60 is: 174,756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,015.80 : 648,023.70 = 116,504.60 : x
  2. Step 2: Convert to fraction form
    432,015.80/648,023.70 = 116,504.60/x
  3. Step 3: Cross multiply
    432,015.80x = 648,023.70 × 116,504.60
  4. Step 4: Simplify right side
    432,015.80x = 75,497,741,959.02
  5. Step 5: Solve for x
    x = 75,497,741,959.02/432,015.80
  6. Step 6: Final answer
    x = 174,756.90

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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.