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Finding the Fourth Proportional to 365,142.24, 503,867.52 and 203,984.64

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Solution

The fourth proportional to 365,142.24, 503,867.52 and 203,984.64 is: 281,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,142.24 : 503,867.52 = 203,984.64 : x
  2. Step 2: Convert to fraction form
    365,142.24/503,867.52 = 203,984.64/x
  3. Step 3: Cross multiply
    365,142.24x = 503,867.52 × 203,984.64
  4. Step 4: Simplify right side
    365,142.24x = 102,781,234,674.89
  5. Step 5: Solve for x
    x = 102,781,234,674.89/365,142.24
  6. Step 6: Final answer
    x = 281,482.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.