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Finding the Fourth Proportional to 580,701.81, 801,659.89 and 363,031.41

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Solution

The fourth proportional to 580,701.81, 801,659.89 and 363,031.41 is: 501,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,701.81 : 801,659.89 = 363,031.41 : x
  2. Step 2: Convert to fraction form
    580,701.81/801,659.89 = 363,031.41/x
  3. Step 3: Cross multiply
    580,701.81x = 801,659.89 × 363,031.41
  4. Step 4: Simplify right side
    580,701.81x = 291,027,715,988.44
  5. Step 5: Solve for x
    x = 291,027,715,988.44/580,701.81
  6. Step 6: Final answer
    x = 501,165.51

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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.