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Finding the Fourth Proportional to 350,646.44, 483,892.16 and 199,743.44

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Solution

The fourth proportional to 350,646.44, 483,892.16 and 199,743.44 is: 275,645.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,646.44 : 483,892.16 = 199,743.44 : x
  2. Step 2: Convert to fraction form
    350,646.44/483,892.16 = 199,743.44/x
  3. Step 3: Cross multiply
    350,646.44x = 483,892.16 × 199,743.44
  4. Step 4: Simplify right side
    350,646.44x = 96,654,281,209.25
  5. Step 5: Solve for x
    x = 96,654,281,209.25/350,646.44
  6. Step 6: Final answer
    x = 275,645.98

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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.