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Finding the Fourth Proportional to 536,146.78, 804,375.82 and 216,133.50

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Solution

The fourth proportional to 536,146.78, 804,375.82 and 216,133.50 is: 324,262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,146.78 : 804,375.82 = 216,133.50 : x
  2. Step 2: Convert to fraction form
    536,146.78/804,375.82 = 216,133.50/x
  3. Step 3: Cross multiply
    536,146.78x = 804,375.82 × 216,133.50
  4. Step 4: Simplify right side
    536,146.78x = 173,852,557,270.09
  5. Step 5: Solve for x
    x = 173,852,557,270.09/536,146.78
  6. Step 6: Final answer
    x = 324,262.99

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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.