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Finding the Fourth Proportional to 320,185.37, 441,813.12 and 205,619.20

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Solution

The fourth proportional to 320,185.37, 441,813.12 and 205,619.20 is: 283,727.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,185.37 : 441,813.12 = 205,619.20 : x
  2. Step 2: Convert to fraction form
    320,185.37/441,813.12 = 205,619.20/x
  3. Step 3: Cross multiply
    320,185.37x = 441,813.12 × 205,619.20
  4. Step 4: Simplify right side
    320,185.37x = 90,845,258,960.57
  5. Step 5: Solve for x
    x = 90,845,258,960.57/320,185.37
  6. Step 6: Final answer
    x = 283,727.08

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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.