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Finding the Fourth Proportional to 365,268.96, 504,091.08 and 204,124.32

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Solution

The fourth proportional to 365,268.96, 504,091.08 and 204,124.32 is: 281,702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,268.96 : 504,091.08 = 204,124.32 : x
  2. Step 2: Convert to fraction form
    365,268.96/504,091.08 = 204,124.32/x
  3. Step 3: Cross multiply
    365,268.96x = 504,091.08 × 204,124.32
  4. Step 4: Simplify right side
    365,268.96x = 102,897,248,923.07
  5. Step 5: Solve for x
    x = 102,897,248,923.07/365,268.96
  6. Step 6: Final answer
    x = 281,702.69

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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.