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Finding the Fourth Proportional to 360,033, 496,845.54 and 201,057

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Solution

The fourth proportional to 360,033, 496,845.54 and 201,057 is: 277,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,033 : 496,845.54 = 201,057 : x
  2. Step 2: Convert to fraction form
    360,033/496,845.54 = 201,057/x
  3. Step 3: Cross multiply
    360,033x = 496,845.54 × 201,057
  4. Step 4: Simplify right side
    360,033x = 99,894,273,735.78
  5. Step 5: Solve for x
    x = 99,894,273,735.78/360,033
  6. Step 6: Final answer
    x = 277,458.66

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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.