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Finding the Fourth Proportional to 365,165.30, 503,878.02 and 204,000.32

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Solution

The fourth proportional to 365,165.30, 503,878.02 and 204,000.32 is: 281,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,165.30 : 503,878.02 = 204,000.32 : x
  2. Step 2: Convert to fraction form
    365,165.30/503,878.02 = 204,000.32/x
  3. Step 3: Cross multiply
    365,165.30x = 503,878.02 × 204,000.32
  4. Step 4: Simplify right side
    365,165.30x = 102,791,277,320.97
  5. Step 5: Solve for x
    x = 102,791,277,320.97/365,165.30
  6. Step 6: Final answer
    x = 281,492.46

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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.