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Finding the Fourth Proportional to 413,108.40, 570,042.72 and 231,782.52

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Solution

The fourth proportional to 413,108.40, 570,042.72 and 231,782.52 is: 319,833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,108.40 : 570,042.72 = 231,782.52 : x
  2. Step 2: Convert to fraction form
    413,108.40/570,042.72 = 231,782.52/x
  3. Step 3: Cross multiply
    413,108.40x = 570,042.72 × 231,782.52
  4. Step 4: Simplify right side
    413,108.40x = 132,125,938,149.25
  5. Step 5: Solve for x
    x = 132,125,938,149.25/413,108.40
  6. Step 6: Final answer
    x = 319,833.58

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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.