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Finding the Fourth Proportional to 363,690.38, 501,953.80 and 210,824.19

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Solution

The fourth proportional to 363,690.38, 501,953.80 and 210,824.19 is: 290,972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,690.38 : 501,953.80 = 210,824.19 : x
  2. Step 2: Convert to fraction form
    363,690.38/501,953.80 = 210,824.19/x
  3. Step 3: Cross multiply
    363,690.38x = 501,953.80 × 210,824.19
  4. Step 4: Simplify right side
    363,690.38x = 105,824,004,285.93
  5. Step 5: Solve for x
    x = 105,824,004,285.93/363,690.38
  6. Step 6: Final answer
    x = 290,972.79

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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.