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Finding the Fourth Proportional to 406,841.94, 561,475.03 and 225,610.70

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Solution

The fourth proportional to 406,841.94, 561,475.03 and 225,610.70 is: 311,361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,841.94 : 561,475.03 = 225,610.70 : x
  2. Step 2: Convert to fraction form
    406,841.94/561,475.03 = 225,610.70/x
  3. Step 3: Cross multiply
    406,841.94x = 561,475.03 × 225,610.70
  4. Step 4: Simplify right side
    406,841.94x = 126,674,774,550.82
  5. Step 5: Solve for x
    x = 126,674,774,550.82/406,841.94
  6. Step 6: Final answer
    x = 311,361.15

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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.