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Finding the Fourth Proportional to 421,483.02, 632,223.81 and 196,768.14

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Solution

The fourth proportional to 421,483.02, 632,223.81 and 196,768.14 is: 295,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,483.02 : 632,223.81 = 196,768.14 : x
  2. Step 2: Convert to fraction form
    421,483.02/632,223.81 = 196,768.14/x
  3. Step 3: Cross multiply
    421,483.02x = 632,223.81 × 196,768.14
  4. Step 4: Simplify right side
    421,483.02x = 124,401,503,157.41
  5. Step 5: Solve for x
    x = 124,401,503,157.41/421,483.02
  6. Step 6: Final answer
    x = 295,151.87

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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.