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Finding the Fourth Proportional to 363,569.86, 501,735.22 and 202,435.80

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Solution

The fourth proportional to 363,569.86, 501,735.22 and 202,435.80 is: 279,366.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,569.86 : 501,735.22 = 202,435.80 : x
  2. Step 2: Convert to fraction form
    363,569.86/501,735.22 = 202,435.80/x
  3. Step 3: Cross multiply
    363,569.86x = 501,735.22 × 202,435.80
  4. Step 4: Simplify right side
    363,569.86x = 101,569,168,261.28
  5. Step 5: Solve for x
    x = 101,569,168,261.28/363,569.86
  6. Step 6: Final answer
    x = 279,366.30

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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.