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Finding the Fourth Proportional to 432,682.36, 649,023.98 and 112,833.98

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Solution

The fourth proportional to 432,682.36, 649,023.98 and 112,833.98 is: 169,251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,682.36 : 649,023.98 = 112,833.98 : x
  2. Step 2: Convert to fraction form
    432,682.36/649,023.98 = 112,833.98/x
  3. Step 3: Cross multiply
    432,682.36x = 649,023.98 × 112,833.98
  4. Step 4: Simplify right side
    432,682.36x = 73,231,957,403.39
  5. Step 5: Solve for x
    x = 73,231,957,403.39/432,682.36
  6. Step 6: Final answer
    x = 169,251.08

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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.