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Finding the Fourth Proportional to 406,568, 561,063.84 and 227,720

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Solution

The fourth proportional to 406,568, 561,063.84 and 227,720 is: 314,253.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,568 : 561,063.84 = 227,720 : x
  2. Step 2: Convert to fraction form
    406,568/561,063.84 = 227,720/x
  3. Step 3: Cross multiply
    406,568x = 561,063.84 × 227,720
  4. Step 4: Simplify right side
    406,568x = 127,765,457,644.80
  5. Step 5: Solve for x
    x = 127,765,457,644.80/406,568
  6. Step 6: Final answer
    x = 314,253.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.