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Finding the Fourth Proportional to 411,074.16, 567,270.40 and 229,786.44

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Solution

The fourth proportional to 411,074.16, 567,270.40 and 229,786.44 is: 317,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,074.16 : 567,270.40 = 229,786.44 : x
  2. Step 2: Convert to fraction form
    411,074.16/567,270.40 = 229,786.44/x
  3. Step 3: Cross multiply
    411,074.16x = 567,270.40 × 229,786.44
  4. Step 4: Simplify right side
    411,074.16x = 130,351,045,733.38
  5. Step 5: Solve for x
    x = 130,351,045,733.38/411,074.16
  6. Step 6: Final answer
    x = 317,098.61

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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.