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Finding the Fourth Proportional to 413,134.83, 570,147.81 and 231,837.39

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Solution

The fourth proportional to 413,134.83, 570,147.81 and 231,837.39 is: 319,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,134.83 : 570,147.81 = 231,837.39 : x
  2. Step 2: Convert to fraction form
    413,134.83/570,147.81 = 231,837.39/x
  3. Step 3: Cross multiply
    413,134.83x = 570,147.81 × 231,837.39
  4. Step 4: Simplify right side
    413,134.83x = 132,181,580,184.62
  5. Step 5: Solve for x
    x = 132,181,580,184.62/413,134.83
  6. Step 6: Final answer
    x = 319,947.80

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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.