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Finding the Fourth Proportional to 406,586.90, 561,081.54 and 225,297.24

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Solution

The fourth proportional to 406,586.90, 561,081.54 and 225,297.24 is: 310,905.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,586.90 : 561,081.54 = 225,297.24 : x
  2. Step 2: Convert to fraction form
    406,586.90/561,081.54 = 225,297.24/x
  3. Step 3: Cross multiply
    406,586.90x = 561,081.54 × 225,297.24
  4. Step 4: Simplify right side
    406,586.90x = 126,410,122,376.95
  5. Step 5: Solve for x
    x = 126,410,122,376.95/406,586.90
  6. Step 6: Final answer
    x = 310,905.55

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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.