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Finding the Fourth Proportional to 320,415.34, 442,365.03 and 199,720.11

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Solution

The fourth proportional to 320,415.34, 442,365.03 and 199,720.11 is: 275,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,415.34 : 442,365.03 = 199,720.11 : x
  2. Step 2: Convert to fraction form
    320,415.34/442,365.03 = 199,720.11/x
  3. Step 3: Cross multiply
    320,415.34x = 442,365.03 × 199,720.11
  4. Step 4: Simplify right side
    320,415.34x = 88,349,192,451.75
  5. Step 5: Solve for x
    x = 88,349,192,451.75/320,415.34
  6. Step 6: Final answer
    x = 275,733.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.