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Finding the Fourth Proportional to 406,716.12, 561,266.82 and 227,868.12

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Solution

The fourth proportional to 406,716.12, 561,266.82 and 227,868.12 is: 314,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,716.12 : 561,266.82 = 227,868.12 : x
  2. Step 2: Convert to fraction form
    406,716.12/561,266.82 = 227,868.12/x
  3. Step 3: Cross multiply
    406,716.12x = 561,266.82 × 227,868.12
  4. Step 4: Simplify right side
    406,716.12x = 127,894,815,091.78
  5. Step 5: Solve for x
    x = 127,894,815,091.78/406,716.12
  6. Step 6: Final answer
    x = 314,457.21

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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.