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Finding the Fourth Proportional to 406,951.84, 561,651.12 and 225,703.84

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Solution

The fourth proportional to 406,951.84, 561,651.12 and 225,703.84 is: 311,503.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,951.84 : 561,651.12 = 225,703.84 : x
  2. Step 2: Convert to fraction form
    406,951.84/561,651.12 = 225,703.84/x
  3. Step 3: Cross multiply
    406,951.84x = 561,651.12 × 225,703.84
  4. Step 4: Simplify right side
    406,951.84x = 126,766,814,524.30
  5. Step 5: Solve for x
    x = 126,766,814,524.30/406,951.84
  6. Step 6: Final answer
    x = 311,503.23

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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.