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Finding the Fourth Proportional to 521,438.38, 719,584.96 and 282,974.38

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Solution

The fourth proportional to 521,438.38, 719,584.96 and 282,974.38 is: 390,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,438.38 : 719,584.96 = 282,974.38 : x
  2. Step 2: Convert to fraction form
    521,438.38/719,584.96 = 282,974.38/x
  3. Step 3: Cross multiply
    521,438.38x = 719,584.96 × 282,974.38
  4. Step 4: Simplify right side
    521,438.38x = 203,624,107,913.33
  5. Step 5: Solve for x
    x = 203,624,107,913.33/521,438.38
  6. Step 6: Final answer
    x = 390,504.64

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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.