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Finding the Fourth Proportional to 406,841.44, 561,474.34 and 225,610.20

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Solution

The fourth proportional to 406,841.44, 561,474.34 and 225,610.20 is: 311,360.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,841.44 : 561,474.34 = 225,610.20 : x
  2. Step 2: Convert to fraction form
    406,841.44/561,474.34 = 225,610.20/x
  3. Step 3: Cross multiply
    406,841.44x = 561,474.34 × 225,610.20
  4. Step 4: Simplify right side
    406,841.44x = 126,674,338,142.27
  5. Step 5: Solve for x
    x = 126,674,338,142.27/406,841.44
  6. Step 6: Final answer
    x = 311,360.46

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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.