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Finding the Fourth Proportional to 335,240.16, 502,855.98 and 82,523.80

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Solution

The fourth proportional to 335,240.16, 502,855.98 and 82,523.80 is: 123,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,240.16 : 502,855.98 = 82,523.80 : x
  2. Step 2: Convert to fraction form
    335,240.16/502,855.98 = 82,523.80/x
  3. Step 3: Cross multiply
    335,240.16x = 502,855.98 × 82,523.80
  4. Step 4: Simplify right side
    335,240.16x = 41,497,586,322.32
  5. Step 5: Solve for x
    x = 41,497,586,322.32/335,240.16
  6. Step 6: Final answer
    x = 123,784.65

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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.