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Finding the Fourth Proportional to 363,709.72, 501,934.99 and 202,564.76

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Solution

The fourth proportional to 363,709.72, 501,934.99 and 202,564.76 is: 279,548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,709.72 : 501,934.99 = 202,564.76 : x
  2. Step 2: Convert to fraction form
    363,709.72/501,934.99 = 202,564.76/x
  3. Step 3: Cross multiply
    363,709.72x = 501,934.99 × 202,564.76
  4. Step 4: Simplify right side
    363,709.72x = 101,674,340,784.95
  5. Step 5: Solve for x
    x = 101,674,340,784.95/363,709.72
  6. Step 6: Final answer
    x = 279,548.04

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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.