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Finding the Fourth Proportional to 406,841.48, 561,474.36 and 225,610.16

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Solution

The fourth proportional to 406,841.48, 561,474.36 and 225,610.16 is: 311,360.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,841.48 : 561,474.36 = 225,610.16 : x
  2. Step 2: Convert to fraction form
    406,841.48/561,474.36 = 225,610.16/x
  3. Step 3: Cross multiply
    406,841.48x = 561,474.36 × 225,610.16
  4. Step 4: Simplify right side
    406,841.48x = 126,674,320,195.50
  5. Step 5: Solve for x
    x = 126,674,320,195.50/406,841.48
  6. Step 6: Final answer
    x = 311,360.39

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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.