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Finding the Fourth Proportional to 406,657.26, 561,153.97 and 225,376.83

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Solution

The fourth proportional to 406,657.26, 561,153.97 and 225,376.83 is: 311,001.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,657.26 : 561,153.97 = 225,376.83 : x
  2. Step 2: Convert to fraction form
    406,657.26/561,153.97 = 225,376.83/x
  3. Step 3: Cross multiply
    406,657.26x = 561,153.97 × 225,376.83
  4. Step 4: Simplify right side
    406,657.26x = 126,471,102,337.07
  5. Step 5: Solve for x
    x = 126,471,102,337.07/406,657.26
  6. Step 6: Final answer
    x = 311,001.71

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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.