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Finding the Fourth Proportional to 415,269.77, 573,089.94 and 231,508.31

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Solution

The fourth proportional to 415,269.77, 573,089.94 and 231,508.31 is: 319,491.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,269.77 : 573,089.94 = 231,508.31 : x
  2. Step 2: Convert to fraction form
    415,269.77/573,089.94 = 231,508.31/x
  3. Step 3: Cross multiply
    415,269.77x = 573,089.94 × 231,508.31
  4. Step 4: Simplify right side
    415,269.77x = 132,675,080,480.37
  5. Step 5: Solve for x
    x = 132,675,080,480.37/415,269.77
  6. Step 6: Final answer
    x = 319,491.30

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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.