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Finding the Fourth Proportional to 406,826.94, 561,454.32 and 225,595.69

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Solution

The fourth proportional to 406,826.94, 561,454.32 and 225,595.69 is: 311,340.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,826.94 : 561,454.32 = 225,595.69 : x
  2. Step 2: Convert to fraction form
    406,826.94/561,454.32 = 225,595.69/x
  3. Step 3: Cross multiply
    406,826.94x = 561,454.32 × 225,595.69
  4. Step 4: Simplify right side
    406,826.94x = 126,661,674,723.88
  5. Step 5: Solve for x
    x = 126,661,674,723.88/406,826.94
  6. Step 6: Final answer
    x = 311,340.43

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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.