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Finding the Fourth Proportional to 261,694.83, 391,944.46 and 156,297.63

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Solution

The fourth proportional to 261,694.83, 391,944.46 and 156,297.63 is: 234,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,694.83 : 391,944.46 = 156,297.63 : x
  2. Step 2: Convert to fraction form
    261,694.83/391,944.46 = 156,297.63/x
  3. Step 3: Cross multiply
    261,694.83x = 391,944.46 × 156,297.63
  4. Step 4: Simplify right side
    261,694.83x = 61,259,990,189.63
  5. Step 5: Solve for x
    x = 61,259,990,189.63/261,694.83
  6. Step 6: Final answer
    x = 234,089.42

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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.