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Finding the Fourth Proportional to 363,904.30, 502,224.87 and 202,785.58

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Solution

The fourth proportional to 363,904.30, 502,224.87 and 202,785.58 is: 279,864.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,904.30 : 502,224.87 = 202,785.58 : x
  2. Step 2: Convert to fraction form
    363,904.30/502,224.87 = 202,785.58/x
  3. Step 3: Cross multiply
    363,904.30x = 502,224.87 × 202,785.58
  4. Step 4: Simplify right side
    363,904.30x = 101,843,961,553.38
  5. Step 5: Solve for x
    x = 101,843,961,553.38/363,904.30
  6. Step 6: Final answer
    x = 279,864.68

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1.5x scale

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.