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Finding the Fourth Proportional to 294,863.58, 406,910.79 and 160,727.58

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Solution

The fourth proportional to 294,863.58, 406,910.79 and 160,727.58 is: 221,803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,863.58 : 406,910.79 = 160,727.58 : x
  2. Step 2: Convert to fraction form
    294,863.58/406,910.79 = 160,727.58/x
  3. Step 3: Cross multiply
    294,863.58x = 406,910.79 × 160,727.58
  4. Step 4: Simplify right side
    294,863.58x = 65,401,786,552.59
  5. Step 5: Solve for x
    x = 65,401,786,552.59/294,863.58
  6. Step 6: Final answer
    x = 221,803.54

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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.