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Finding the Fourth Proportional to 410,804.71, 566,813.30 and 238,620.38

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Solution

The fourth proportional to 410,804.71, 566,813.30 and 238,620.38 is: 329,239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,804.71 : 566,813.30 = 238,620.38 : x
  2. Step 2: Convert to fraction form
    410,804.71/566,813.30 = 238,620.38/x
  3. Step 3: Cross multiply
    410,804.71x = 566,813.30 × 238,620.38
  4. Step 4: Simplify right side
    410,804.71x = 135,253,202,200.99
  5. Step 5: Solve for x
    x = 135,253,202,200.99/410,804.71
  6. Step 6: Final answer
    x = 329,239.66

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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.