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Finding the Fourth Proportional to 405,859.48, 560,174.36 and 236,115.88

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Solution

The fourth proportional to 405,859.48, 560,174.36 and 236,115.88 is: 325,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,859.48 : 560,174.36 = 236,115.88 : x
  2. Step 2: Convert to fraction form
    405,859.48/560,174.36 = 236,115.88/x
  3. Step 3: Cross multiply
    405,859.48x = 560,174.36 × 236,115.88
  4. Step 4: Simplify right side
    405,859.48x = 132,266,061,964.84
  5. Step 5: Solve for x
    x = 132,266,061,964.84/405,859.48
  6. Step 6: Final answer
    x = 325,891.27

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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.