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Finding the Fourth Proportional to 578,800.50, 798,744.96 and 324,151.76

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Solution

The fourth proportional to 578,800.50, 798,744.96 and 324,151.76 is: 447,329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,800.50 : 798,744.96 = 324,151.76 : x
  2. Step 2: Convert to fraction form
    578,800.50/798,744.96 = 324,151.76/x
  3. Step 3: Cross multiply
    578,800.50x = 798,744.96 × 324,151.76
  4. Step 4: Simplify right side
    578,800.50x = 258,914,580,581.41
  5. Step 5: Solve for x
    x = 258,914,580,581.41/578,800.50
  6. Step 6: Final answer
    x = 447,329.57

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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.