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Finding the Fourth Proportional to 320,496.42, 442,421.22 and 199,697.38

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Solution

The fourth proportional to 320,496.42, 442,421.22 and 199,697.38 is: 275,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,496.42 : 442,421.22 = 199,697.38 : x
  2. Step 2: Convert to fraction form
    320,496.42/442,421.22 = 199,697.38/x
  3. Step 3: Cross multiply
    320,496.42x = 442,421.22 × 199,697.38
  4. Step 4: Simplify right side
    320,496.42x = 88,350,358,490.40
  5. Step 5: Solve for x
    x = 88,350,358,490.40/320,496.42
  6. Step 6: Final answer
    x = 275,667.22

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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.