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Finding the Fourth Proportional to 204,327, 306,490.50 and 56,583

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Solution

The fourth proportional to 204,327, 306,490.50 and 56,583 is: 84,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,327 : 306,490.50 = 56,583 : x
  2. Step 2: Convert to fraction form
    204,327/306,490.50 = 56,583/x
  3. Step 3: Cross multiply
    204,327x = 306,490.50 × 56,583
  4. Step 4: Simplify right side
    204,327x = 17,342,151,961.50
  5. Step 5: Solve for x
    x = 17,342,151,961.50/204,327
  6. Step 6: Final answer
    x = 84,874.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.