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Finding the Fourth Proportional to 406,924.34, 561,562.34 and 225,643.91

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Solution

The fourth proportional to 406,924.34, 561,562.34 and 225,643.91 is: 311,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,924.34 : 561,562.34 = 225,643.91 : x
  2. Step 2: Convert to fraction form
    406,924.34/561,562.34 = 225,643.91/x
  3. Step 3: Cross multiply
    406,924.34x = 561,562.34 × 225,643.91
  4. Step 4: Simplify right side
    406,924.34x = 126,713,118,170.32
  5. Step 5: Solve for x
    x = 126,713,118,170.32/406,924.34
  6. Step 6: Final answer
    x = 311,392.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.