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Finding the Fourth Proportional to 419,638.76, 629,462.46 and 335,931.14

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Solution

The fourth proportional to 419,638.76, 629,462.46 and 335,931.14 is: 503,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,638.76 : 629,462.46 = 335,931.14 : x
  2. Step 2: Convert to fraction form
    419,638.76/629,462.46 = 335,931.14/x
  3. Step 3: Cross multiply
    419,638.76x = 629,462.46 × 335,931.14
  4. Step 4: Simplify right side
    419,638.76x = 211,456,038,627.69
  5. Step 5: Solve for x
    x = 211,456,038,627.69/419,638.76
  6. Step 6: Final answer
    x = 503,900.17

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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.