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Finding the Fourth Proportional to 702,262.31, 969,126.49 and 411,814.73

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Solution

The fourth proportional to 702,262.31, 969,126.49 and 411,814.73 is: 568,306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,262.31 : 969,126.49 = 411,814.73 : x
  2. Step 2: Convert to fraction form
    702,262.31/969,126.49 = 411,814.73/x
  3. Step 3: Cross multiply
    702,262.31x = 969,126.49 × 411,814.73
  4. Step 4: Simplify right side
    702,262.31x = 399,100,566,752.78
  5. Step 5: Solve for x
    x = 399,100,566,752.78/702,262.31
  6. Step 6: Final answer
    x = 568,306.98

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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.