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Finding the Fourth Proportional to 406,734.96, 561,327.84 and 225,503.73

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Solution

The fourth proportional to 406,734.96, 561,327.84 and 225,503.73 is: 311,213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,734.96 : 561,327.84 = 225,503.73 : x
  2. Step 2: Convert to fraction form
    406,734.96/561,327.84 = 225,503.73/x
  3. Step 3: Cross multiply
    406,734.96x = 561,327.84 × 225,503.73
  4. Step 4: Simplify right side
    406,734.96x = 126,581,521,672.84
  5. Step 5: Solve for x
    x = 126,581,521,672.84/406,734.96
  6. Step 6: Final answer
    x = 311,213.77

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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.