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Finding the Fourth Proportional to 334,813.24, 502,220.82 and 82,094.92

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Solution

The fourth proportional to 334,813.24, 502,220.82 and 82,094.92 is: 123,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,813.24 : 502,220.82 = 82,094.92 : x
  2. Step 2: Convert to fraction form
    334,813.24/502,220.82 = 82,094.92/x
  3. Step 3: Cross multiply
    334,813.24x = 502,220.82 × 82,094.92
  4. Step 4: Simplify right side
    334,813.24x = 41,229,778,040.23
  5. Step 5: Solve for x
    x = 41,229,778,040.23/334,813.24
  6. Step 6: Final answer
    x = 123,142.62

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1.5x scale

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.