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Finding the Fourth Proportional to 410,984.82, 567,156.96 and 229,696.65

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Solution

The fourth proportional to 410,984.82, 567,156.96 and 229,696.65 is: 316,980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,984.82 : 567,156.96 = 229,696.65 : x
  2. Step 2: Convert to fraction form
    410,984.82/567,156.96 = 229,696.65/x
  3. Step 3: Cross multiply
    410,984.82x = 567,156.96 × 229,696.65
  4. Step 4: Simplify right side
    410,984.82x = 130,274,053,736.18
  5. Step 5: Solve for x
    x = 130,274,053,736.18/410,984.82
  6. Step 6: Final answer
    x = 316,980.21

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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.