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Finding the Fourth Proportional to 580,206.85, 800,672.85 and 322,068.87

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Solution

The fourth proportional to 580,206.85, 800,672.85 and 322,068.87 is: 444,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,206.85 : 800,672.85 = 322,068.87 : x
  2. Step 2: Convert to fraction form
    580,206.85/800,672.85 = 322,068.87/x
  3. Step 3: Cross multiply
    580,206.85x = 800,672.85 × 322,068.87
  4. Step 4: Simplify right side
    580,206.85x = 257,871,800,039.18
  5. Step 5: Solve for x
    x = 257,871,800,039.18/580,206.85
  6. Step 6: Final answer
    x = 444,448.05

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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.