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Finding the Fourth Proportional to 543,964.19, 816,093.94 and 164,897.30

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Solution

The fourth proportional to 543,964.19, 816,093.94 and 164,897.30 is: 247,390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,964.19 : 816,093.94 = 164,897.30 : x
  2. Step 2: Convert to fraction form
    543,964.19/816,093.94 = 164,897.30/x
  3. Step 3: Cross multiply
    543,964.19x = 816,093.94 × 164,897.30
  4. Step 4: Simplify right side
    543,964.19x = 134,571,686,840.12
  5. Step 5: Solve for x
    x = 134,571,686,840.12/543,964.19
  6. Step 6: Final answer
    x = 247,390.71

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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.