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Finding the Fourth Proportional to 424,869.38, 585,202.84 and 326,564.63

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Solution

The fourth proportional to 424,869.38, 585,202.84 and 326,564.63 is: 449,800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,869.38 : 585,202.84 = 326,564.63 : x
  2. Step 2: Convert to fraction form
    424,869.38/585,202.84 = 326,564.63/x
  3. Step 3: Cross multiply
    424,869.38x = 585,202.84 × 326,564.63
  4. Step 4: Simplify right side
    424,869.38x = 191,106,548,919.55
  5. Step 5: Solve for x
    x = 191,106,548,919.55/424,869.38
  6. Step 6: Final answer
    x = 449,800.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.