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Finding the Fourth Proportional to 335,286.83, 502,931.41 and 82,573.29

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Solution

The fourth proportional to 335,286.83, 502,931.41 and 82,573.29 is: 123,860.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,286.83 : 502,931.41 = 82,573.29 : x
  2. Step 2: Convert to fraction form
    335,286.83/502,931.41 = 82,573.29/x
  3. Step 3: Cross multiply
    335,286.83x = 502,931.41 × 82,573.29
  4. Step 4: Simplify right side
    335,286.83x = 41,528,700,961.61
  5. Step 5: Solve for x
    x = 41,528,700,961.61/335,286.83
  6. Step 6: Final answer
    x = 123,860.22

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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.