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Finding the Fourth Proportional to 378,604.80, 567,424.80 and 201,196.80

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Solution

The fourth proportional to 378,604.80, 567,424.80 and 201,196.80 is: 301,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,604.80 : 567,424.80 = 201,196.80 : x
  2. Step 2: Convert to fraction form
    378,604.80/567,424.80 = 201,196.80/x
  3. Step 3: Cross multiply
    378,604.80x = 567,424.80 × 201,196.80
  4. Step 4: Simplify right side
    378,604.80x = 114,164,054,000.64
  5. Step 5: Solve for x
    x = 114,164,054,000.64/378,604.80
  6. Step 6: Final answer
    x = 301,538.84

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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.