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Finding the Fourth Proportional to 413,233.80, 619,791.84 and 132,714.60

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Solution

The fourth proportional to 413,233.80, 619,791.84 and 132,714.60 is: 199,053.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,233.80 : 619,791.84 = 132,714.60 : x
  2. Step 2: Convert to fraction form
    413,233.80/619,791.84 = 132,714.60/x
  3. Step 3: Cross multiply
    413,233.80x = 619,791.84 × 132,714.60
  4. Step 4: Simplify right side
    413,233.80x = 82,255,426,128.86
  5. Step 5: Solve for x
    x = 82,255,426,128.86/413,233.80
  6. Step 6: Final answer
    x = 199,053.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.