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Finding the Fourth Proportional to 533,263.91, 799,896.67 and 213,559.74

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Solution

The fourth proportional to 533,263.91, 799,896.67 and 213,559.74 is: 320,339.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,263.91 : 799,896.67 = 213,559.74 : x
  2. Step 2: Convert to fraction form
    533,263.91/799,896.67 = 213,559.74/x
  3. Step 3: Cross multiply
    533,263.91x = 799,896.67 × 213,559.74
  4. Step 4: Simplify right side
    533,263.91x = 170,825,724,338.17
  5. Step 5: Solve for x
    x = 170,825,724,338.17/533,263.91
  6. Step 6: Final answer
    x = 320,339.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.