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Finding the Fourth Proportional to 333,694.81, 500,538 and 80,977.38

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Solution

The fourth proportional to 333,694.81, 500,538 and 80,977.38 is: 121,465.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,694.81 : 500,538 = 80,977.38 : x
  2. Step 2: Convert to fraction form
    333,694.81/500,538 = 80,977.38/x
  3. Step 3: Cross multiply
    333,694.81x = 500,538 × 80,977.38
  4. Step 4: Simplify right side
    333,694.81x = 40,532,255,830.44
  5. Step 5: Solve for x
    x = 40,532,255,830.44/333,694.81
  6. Step 6: Final answer
    x = 121,465.05

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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.