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Finding the Fourth Proportional to 463,814.89, 696,171.27 and 224,097.41

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Solution

The fourth proportional to 463,814.89, 696,171.27 and 224,097.41 is: 336,363.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,814.89 : 696,171.27 = 224,097.41 : x
  2. Step 2: Convert to fraction form
    463,814.89/696,171.27 = 224,097.41/x
  3. Step 3: Cross multiply
    463,814.89x = 696,171.27 × 224,097.41
  4. Step 4: Simplify right side
    463,814.89x = 156,010,178,523.41
  5. Step 5: Solve for x
    x = 156,010,178,523.41/463,814.89
  6. Step 6: Final answer
    x = 336,363.02

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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.