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Finding the Fourth Proportional to 580,659.14, 801,288.96 and 326,021.06

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Solution

The fourth proportional to 580,659.14, 801,288.96 and 326,021.06 is: 449,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,659.14 : 801,288.96 = 326,021.06 : x
  2. Step 2: Convert to fraction form
    580,659.14/801,288.96 = 326,021.06/x
  3. Step 3: Cross multiply
    580,659.14x = 801,288.96 × 326,021.06
  4. Step 4: Simplify right side
    580,659.14x = 261,237,076,105.50
  5. Step 5: Solve for x
    x = 261,237,076,105.50/580,659.14
  6. Step 6: Final answer
    x = 449,897.47

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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.