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Finding the Fourth Proportional to 363,768.86, 502,016.51 and 202,623.98

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Solution

The fourth proportional to 363,768.86, 502,016.51 and 202,623.98 is: 279,629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,768.86 : 502,016.51 = 202,623.98 : x
  2. Step 2: Convert to fraction form
    363,768.86/502,016.51 = 202,623.98/x
  3. Step 3: Cross multiply
    363,768.86x = 502,016.51 × 202,623.98
  4. Step 4: Simplify right side
    363,768.86x = 101,720,583,281.91
  5. Step 5: Solve for x
    x = 101,720,583,281.91/363,768.86
  6. Step 6: Final answer
    x = 279,629.72

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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.