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Finding the Fourth Proportional to 406,896.17, 561,574.82 and 225,648.41

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Solution

The fourth proportional to 406,896.17, 561,574.82 and 225,648.41 is: 311,427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,896.17 : 561,574.82 = 225,648.41 : x
  2. Step 2: Convert to fraction form
    406,896.17/561,574.82 = 225,648.41/x
  3. Step 3: Cross multiply
    406,896.17x = 561,574.82 × 225,648.41
  4. Step 4: Simplify right side
    406,896.17x = 126,718,462,985.28
  5. Step 5: Solve for x
    x = 126,718,462,985.28/406,896.17
  6. Step 6: Final answer
    x = 311,427.03

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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.