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Finding the Fourth Proportional to 465,101.10, 697,651.65 and 331,256.70

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Solution

The fourth proportional to 465,101.10, 697,651.65 and 331,256.70 is: 496,885.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,101.10 : 697,651.65 = 331,256.70 : x
  2. Step 2: Convert to fraction form
    465,101.10/697,651.65 = 331,256.70/x
  3. Step 3: Cross multiply
    465,101.10x = 697,651.65 × 331,256.70
  4. Step 4: Simplify right side
    465,101.10x = 231,101,783,328.56
  5. Step 5: Solve for x
    x = 231,101,783,328.56/465,101.10
  6. Step 6: Final answer
    x = 496,885.05

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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.