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Finding the Fourth Proportional to 580,423.50, 801,034.74 and 322,350.21

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Solution

The fourth proportional to 580,423.50, 801,034.74 and 322,350.21 is: 444,871.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,423.50 : 801,034.74 = 322,350.21 : x
  2. Step 2: Convert to fraction form
    580,423.50/801,034.74 = 322,350.21/x
  3. Step 3: Cross multiply
    580,423.50x = 801,034.74 × 322,350.21
  4. Step 4: Simplify right side
    580,423.50x = 258,213,716,656.30
  5. Step 5: Solve for x
    x = 258,213,716,656.30/580,423.50
  6. Step 6: Final answer
    x = 444,871.23

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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.