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Finding the Fourth Proportional to 804,200.80, 1,206,214.80 and 213,224.80

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Solution

The fourth proportional to 804,200.80, 1,206,214.80 and 213,224.80 is: 319,814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,200.80 : 1,206,214.80 = 213,224.80 : x
  2. Step 2: Convert to fraction form
    804,200.80/1,206,214.80 = 213,224.80/x
  3. Step 3: Cross multiply
    804,200.80x = 1,206,214.80 × 213,224.80
  4. Step 4: Simplify right side
    804,200.80x = 257,194,909,487.04
  5. Step 5: Solve for x
    x = 257,194,909,487.04/804,200.80
  6. Step 6: Final answer
    x = 319,814.29

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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.