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Finding the Fourth Proportional to 411,551.34, 567,914.13 and 230,231.94

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Solution

The fourth proportional to 411,551.34, 567,914.13 and 230,231.94 is: 317,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,551.34 : 567,914.13 = 230,231.94 : x
  2. Step 2: Convert to fraction form
    411,551.34/567,914.13 = 230,231.94/x
  3. Step 3: Cross multiply
    411,551.34x = 567,914.13 × 230,231.94
  4. Step 4: Simplify right side
    411,551.34x = 130,751,971,903.31
  5. Step 5: Solve for x
    x = 130,751,971,903.31/411,551.34
  6. Step 6: Final answer
    x = 317,705.13

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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.