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Finding the Fourth Proportional to 320,794.88, 442,689.96 and 177,546.32

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Solution

The fourth proportional to 320,794.88, 442,689.96 and 177,546.32 is: 245,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,794.88 : 442,689.96 = 177,546.32 : x
  2. Step 2: Convert to fraction form
    320,794.88/442,689.96 = 177,546.32/x
  3. Step 3: Cross multiply
    320,794.88x = 442,689.96 × 177,546.32
  4. Step 4: Simplify right side
    320,794.88x = 78,597,973,298.95
  5. Step 5: Solve for x
    x = 78,597,973,298.95/320,794.88
  6. Step 6: Final answer
    x = 245,010.06

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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.