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Finding the Fourth Proportional to 406,887.40, 561,447.78 and 234,855.40

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Solution

The fourth proportional to 406,887.40, 561,447.78 and 234,855.40 is: 324,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,887.40 : 561,447.78 = 234,855.40 : x
  2. Step 2: Convert to fraction form
    406,887.40/561,447.78 = 234,855.40/x
  3. Step 3: Cross multiply
    406,887.40x = 561,447.78 × 234,855.40
  4. Step 4: Simplify right side
    406,887.40x = 131,859,042,951.01
  5. Step 5: Solve for x
    x = 131,859,042,951.01/406,887.40
  6. Step 6: Final answer
    x = 324,067.65

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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.