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Finding the Fourth Proportional to 411,138.65, 567,383.81 and 229,858.22

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Solution

The fourth proportional to 411,138.65, 567,383.81 and 229,858.22 is: 317,211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,138.65 : 567,383.81 = 229,858.22 : x
  2. Step 2: Convert to fraction form
    411,138.65/567,383.81 = 229,858.22/x
  3. Step 3: Cross multiply
    411,138.65x = 567,383.81 × 229,858.22
  4. Step 4: Simplify right side
    411,138.65x = 130,417,832,892.59
  5. Step 5: Solve for x
    x = 130,417,832,892.59/411,138.65
  6. Step 6: Final answer
    x = 317,211.32

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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.