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Finding the Fourth Proportional to 333,694.94, 500,538.18 and 80,977.50

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Solution

The fourth proportional to 333,694.94, 500,538.18 and 80,977.50 is: 121,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,694.94 : 500,538.18 = 80,977.50 : x
  2. Step 2: Convert to fraction form
    333,694.94/500,538.18 = 80,977.50/x
  3. Step 3: Cross multiply
    333,694.94x = 500,538.18 × 80,977.50
  4. Step 4: Simplify right side
    333,694.94x = 40,532,330,470.95
  5. Step 5: Solve for x
    x = 40,532,330,470.95/333,694.94
  6. Step 6: Final answer
    x = 121,465.22

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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.