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Finding the Fourth Proportional to 363,851.52, 502,102.44 and 202,698.24

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Solution

The fourth proportional to 363,851.52, 502,102.44 and 202,698.24 is: 279,716.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,851.52 : 502,102.44 = 202,698.24 : x
  2. Step 2: Convert to fraction form
    363,851.52/502,102.44 = 202,698.24/x
  3. Step 3: Cross multiply
    363,851.52x = 502,102.44 × 202,698.24
  4. Step 4: Simplify right side
    363,851.52x = 101,775,280,887.71
  5. Step 5: Solve for x
    x = 101,775,280,887.71/363,851.52
  6. Step 6: Final answer
    x = 279,716.52

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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.