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Finding the Fourth Proportional to 761,663.40, 1,051,093.32 and 422,131.68

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Solution

The fourth proportional to 761,663.40, 1,051,093.32 and 422,131.68 is: 582,540.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,663.40 : 1,051,093.32 = 422,131.68 : x
  2. Step 2: Convert to fraction form
    761,663.40/1,051,093.32 = 422,131.68/x
  3. Step 3: Cross multiply
    761,663.40x = 1,051,093.32 × 422,131.68
  4. Step 4: Simplify right side
    761,663.40x = 443,699,789,008.38
  5. Step 5: Solve for x
    x = 443,699,789,008.38/761,663.40
  6. Step 6: Final answer
    x = 582,540.51

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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.