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Finding the Fourth Proportional to 413,185.88, 570,172.56 and 231,880.88

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Solution

The fourth proportional to 413,185.88, 570,172.56 and 231,880.88 is: 319,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,185.88 : 570,172.56 = 231,880.88 : x
  2. Step 2: Convert to fraction form
    413,185.88/570,172.56 = 231,880.88/x
  3. Step 3: Cross multiply
    413,185.88x = 570,172.56 × 231,880.88
  4. Step 4: Simplify right side
    413,185.88x = 132,212,114,964.65
  5. Step 5: Solve for x
    x = 132,212,114,964.65/413,185.88
  6. Step 6: Final answer
    x = 319,982.17

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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.