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Finding the Fourth Proportional to 463,813.89, 696,169.77 and 224,096.41

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Solution

The fourth proportional to 463,813.89, 696,169.77 and 224,096.41 is: 336,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,813.89 : 696,169.77 = 224,096.41 : x
  2. Step 2: Convert to fraction form
    463,813.89/696,169.77 = 224,096.41/x
  3. Step 3: Cross multiply
    463,813.89x = 696,169.77 × 224,096.41
  4. Step 4: Simplify right side
    463,813.89x = 156,009,146,207.53
  5. Step 5: Solve for x
    x = 156,009,146,207.53/463,813.89
  6. Step 6: Final answer
    x = 336,361.52

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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.