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Finding the Fourth Proportional to 411,215.20, 567,450.72 and 229,942.08

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Solution

The fourth proportional to 411,215.20, 567,450.72 and 229,942.08 is: 317,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,215.20 : 567,450.72 = 229,942.08 : x
  2. Step 2: Convert to fraction form
    411,215.20/567,450.72 = 229,942.08/x
  3. Step 3: Cross multiply
    411,215.20x = 567,450.72 × 229,942.08
  4. Step 4: Simplify right side
    411,215.20x = 130,480,798,854.30
  5. Step 5: Solve for x
    x = 130,480,798,854.30/411,215.20
  6. Step 6: Final answer
    x = 317,305.39

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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.