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Finding the Fourth Proportional to 538,793.46, 742,167.94 and 411,247.62

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Solution

The fourth proportional to 538,793.46, 742,167.94 and 411,247.62 is: 566,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,793.46 : 742,167.94 = 411,247.62 : x
  2. Step 2: Convert to fraction form
    538,793.46/742,167.94 = 411,247.62/x
  3. Step 3: Cross multiply
    538,793.46x = 742,167.94 × 411,247.62
  4. Step 4: Simplify right side
    538,793.46x = 305,214,798,965.30
  5. Step 5: Solve for x
    x = 305,214,798,965.30/538,793.46
  6. Step 6: Final answer
    x = 566,478.29

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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.