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Finding the Fourth Proportional to 363,789.98, 502,010.70 and 200,441.42

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Solution

The fourth proportional to 363,789.98, 502,010.70 and 200,441.42 is: 276,598.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,789.98 : 502,010.70 = 200,441.42 : x
  2. Step 2: Convert to fraction form
    363,789.98/502,010.70 = 200,441.42/x
  3. Step 3: Cross multiply
    363,789.98x = 502,010.70 × 200,441.42
  4. Step 4: Simplify right side
    363,789.98x = 100,623,737,563.19
  5. Step 5: Solve for x
    x = 100,623,737,563.19/363,789.98
  6. Step 6: Final answer
    x = 276,598.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.