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Finding the Fourth Proportional to 432,992.12, 649,322.12 and 148,629.67

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Solution

The fourth proportional to 432,992.12, 649,322.12 and 148,629.67 is: 222,887.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,992.12 : 649,322.12 = 148,629.67 : x
  2. Step 2: Convert to fraction form
    432,992.12/649,322.12 = 148,629.67/x
  3. Step 3: Cross multiply
    432,992.12x = 649,322.12 × 148,629.67
  4. Step 4: Simplify right side
    432,992.12x = 96,508,531,167.57
  5. Step 5: Solve for x
    x = 96,508,531,167.57/432,992.12
  6. Step 6: Final answer
    x = 222,887.50

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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.