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Finding the Fourth Proportional to 320,189.49, 441,862.87 and 174,998.20

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Solution

The fourth proportional to 320,189.49, 441,862.87 and 174,998.20 is: 241,498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,189.49 : 441,862.87 = 174,998.20 : x
  2. Step 2: Convert to fraction form
    320,189.49/441,862.87 = 174,998.20/x
  3. Step 3: Cross multiply
    320,189.49x = 441,862.87 × 174,998.20
  4. Step 4: Simplify right side
    320,189.49x = 77,325,206,896.83
  5. Step 5: Solve for x
    x = 77,325,206,896.83/320,189.49
  6. Step 6: Final answer
    x = 241,498.27

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1.5x scale

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.