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Finding the Fourth Proportional to 365,202.18, 503,977.95 and 204,057.35

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Solution

The fourth proportional to 365,202.18, 503,977.95 and 204,057.35 is: 281,598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,202.18 : 503,977.95 = 204,057.35 : x
  2. Step 2: Convert to fraction form
    365,202.18/503,977.95 = 204,057.35/x
  3. Step 3: Cross multiply
    365,202.18x = 503,977.95 × 204,057.35
  4. Step 4: Simplify right side
    365,202.18x = 102,840,404,935.43
  5. Step 5: Solve for x
    x = 102,840,404,935.43/365,202.18
  6. Step 6: Final answer
    x = 281,598.55

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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.