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Finding the Fourth Proportional to 413,186.88, 570,257.46 and 229,467.36

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Solution

The fourth proportional to 413,186.88, 570,257.46 and 229,467.36 is: 316,698.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,186.88 : 570,257.46 = 229,467.36 : x
  2. Step 2: Convert to fraction form
    413,186.88/570,257.46 = 229,467.36/x
  3. Step 3: Cross multiply
    413,186.88x = 570,257.46 × 229,467.36
  4. Step 4: Simplify right side
    413,186.88x = 130,855,473,866.51
  5. Step 5: Solve for x
    x = 130,855,473,866.51/413,186.88
  6. Step 6: Final answer
    x = 316,698.04

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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.