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Finding the Fourth Proportional to 550,633.22, 826,250.75 and 213,687.14

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Solution

The fourth proportional to 550,633.22, 826,250.75 and 213,687.14 is: 320,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,633.22 : 826,250.75 = 213,687.14 : x
  2. Step 2: Convert to fraction form
    550,633.22/826,250.75 = 213,687.14/x
  3. Step 3: Cross multiply
    550,633.22x = 826,250.75 × 213,687.14
  4. Step 4: Simplify right side
    550,633.22x = 176,559,159,690.36
  5. Step 5: Solve for x
    x = 176,559,159,690.36/550,633.22
  6. Step 6: Final answer
    x = 320,647.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.