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Finding the Fourth Proportional to 406,933.94, 561,575.57 and 225,653.51

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Solution

The fourth proportional to 406,933.94, 561,575.57 and 225,653.51 is: 311,405.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,933.94 : 561,575.57 = 225,653.51 : x
  2. Step 2: Convert to fraction form
    406,933.94/561,575.57 = 225,653.51/x
  3. Step 3: Cross multiply
    406,933.94x = 561,575.57 × 225,653.51
  4. Step 4: Simplify right side
    406,933.94x = 126,721,498,776.42
  5. Step 5: Solve for x
    x = 126,721,498,776.42/406,933.94
  6. Step 6: Final answer
    x = 311,405.58

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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.