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Finding the Fourth Proportional to 413,203.88, 570,197.40 and 231,898.88

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Solution

The fourth proportional to 413,203.88, 570,197.40 and 231,898.88 is: 320,007.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,203.88 : 570,197.40 = 231,898.88 : x
  2. Step 2: Convert to fraction form
    413,203.88/570,197.40 = 231,898.88/x
  3. Step 3: Cross multiply
    413,203.88x = 570,197.40 × 231,898.88
  4. Step 4: Simplify right side
    413,203.88x = 132,228,138,438.91
  5. Step 5: Solve for x
    x = 132,228,138,438.91/413,203.88
  6. Step 6: Final answer
    x = 320,007.01

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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.