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Finding the Fourth Proportional to 363,903.30, 502,223.49 and 202,784.58

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Solution

The fourth proportional to 363,903.30, 502,223.49 and 202,784.58 is: 279,863.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,903.30 : 502,223.49 = 202,784.58 : x
  2. Step 2: Convert to fraction form
    363,903.30/502,223.49 = 202,784.58/x
  3. Step 3: Cross multiply
    363,903.30x = 502,223.49 × 202,784.58
  4. Step 4: Simplify right side
    363,903.30x = 101,843,179,485.78
  5. Step 5: Solve for x
    x = 101,843,179,485.78/363,903.30
  6. Step 6: Final answer
    x = 279,863.30

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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.