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Finding the Fourth Proportional to 432,993.12, 649,323.62 and 148,630.67

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Solution

The fourth proportional to 432,993.12, 649,323.62 and 148,630.67 is: 222,889.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,993.12 : 649,323.62 = 148,630.67 : x
  2. Step 2: Convert to fraction form
    432,993.12/649,323.62 = 148,630.67/x
  3. Step 3: Cross multiply
    432,993.12x = 649,323.62 × 148,630.67
  4. Step 4: Simplify right side
    432,993.12x = 96,509,404,687.43
  5. Step 5: Solve for x
    x = 96,509,404,687.43/432,993.12
  6. Step 6: Final answer
    x = 222,889.00

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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.