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Finding the Fourth Proportional to 413,105.34, 570,089.96 and 229,356.43

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Solution

The fourth proportional to 413,105.34, 570,089.96 and 229,356.43 is: 316,514.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,105.34 : 570,089.96 = 229,356.43 : x
  2. Step 2: Convert to fraction form
    413,105.34/570,089.96 = 229,356.43/x
  3. Step 3: Cross multiply
    413,105.34x = 570,089.96 × 229,356.43
  4. Step 4: Simplify right side
    413,105.34x = 130,753,798,004.44
  5. Step 5: Solve for x
    x = 130,753,798,004.44/413,105.34
  6. Step 6: Final answer
    x = 316,514.42

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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.