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Finding the Fourth Proportional to 406,713.56, 561,250.22 and 225,442.44

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Solution

The fourth proportional to 406,713.56, 561,250.22 and 225,442.44 is: 311,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,713.56 : 561,250.22 = 225,442.44 : x
  2. Step 2: Convert to fraction form
    406,713.56/561,250.22 = 225,442.44/x
  3. Step 3: Cross multiply
    406,713.56x = 561,250.22 × 225,442.44
  4. Step 4: Simplify right side
    406,713.56x = 126,529,617,920.13
  5. Step 5: Solve for x
    x = 126,529,617,920.13/406,713.56
  6. Step 6: Final answer
    x = 311,102.53

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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.