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Finding the Fourth Proportional to 415,198.76, 573,115.77 and 258,157.58

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Solution

The fourth proportional to 415,198.76, 573,115.77 and 258,157.58 is: 356,345.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,198.76 : 573,115.77 = 258,157.58 : x
  2. Step 2: Convert to fraction form
    415,198.76/573,115.77 = 258,157.58/x
  3. Step 3: Cross multiply
    415,198.76x = 573,115.77 × 258,157.58
  4. Step 4: Simplify right side
    415,198.76x = 147,954,177,377.46
  5. Step 5: Solve for x
    x = 147,954,177,377.46/415,198.76
  6. Step 6: Final answer
    x = 356,345.43

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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.