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Finding the Fourth Proportional to 432,813.99, 649,230.22 and 148,503.31

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Solution

The fourth proportional to 432,813.99, 649,230.22 and 148,503.31 is: 222,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,813.99 : 649,230.22 = 148,503.31 : x
  2. Step 2: Convert to fraction form
    432,813.99/649,230.22 = 148,503.31/x
  3. Step 3: Cross multiply
    432,813.99x = 649,230.22 × 148,503.31
  4. Step 4: Simplify right side
    432,813.99x = 96,412,836,622.03
  5. Step 5: Solve for x
    x = 96,412,836,622.03/432,813.99
  6. Step 6: Final answer
    x = 222,758.13

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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.