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Finding the Fourth Proportional to 280,696.96, 421,111.12 and 191,992.24

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Solution

The fourth proportional to 280,696.96, 421,111.12 and 191,992.24 is: 288,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,696.96 : 421,111.12 = 191,992.24 : x
  2. Step 2: Convert to fraction form
    280,696.96/421,111.12 = 191,992.24/x
  3. Step 3: Cross multiply
    280,696.96x = 421,111.12 × 191,992.24
  4. Step 4: Simplify right side
    280,696.96x = 80,850,067,217.71
  5. Step 5: Solve for x
    x = 80,850,067,217.71/280,696.96
  6. Step 6: Final answer
    x = 288,033.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.