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Finding the Fourth Proportional to 363,715.29, 501,942.74 and 202,570.38

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Solution

The fourth proportional to 363,715.29, 501,942.74 and 202,570.38 is: 279,555.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,715.29 : 501,942.74 = 202,570.38 : x
  2. Step 2: Convert to fraction form
    363,715.29/501,942.74 = 202,570.38/x
  3. Step 3: Cross multiply
    363,715.29x = 501,942.74 × 202,570.38
  4. Step 4: Simplify right side
    363,715.29x = 101,678,730,567.19
  5. Step 5: Solve for x
    x = 101,678,730,567.19/363,715.29
  6. Step 6: Final answer
    x = 279,555.83

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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.