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Finding the Fourth Proportional to 406,927.70, 561,588.36 and 225,656.36

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Solution

The fourth proportional to 406,927.70, 561,588.36 and 225,656.36 is: 311,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,927.70 : 561,588.36 = 225,656.36 : x
  2. Step 2: Convert to fraction form
    406,927.70/561,588.36 = 225,656.36/x
  3. Step 3: Cross multiply
    406,927.70x = 561,588.36 × 225,656.36
  4. Step 4: Simplify right side
    406,927.70x = 126,725,985,135.97
  5. Step 5: Solve for x
    x = 126,725,985,135.97/406,927.70
  6. Step 6: Final answer
    x = 311,421.38

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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.