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Finding the Fourth Proportional to 304,133.42, 419,692.23 and 181,646.57

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Solution

The fourth proportional to 304,133.42, 419,692.23 and 181,646.57 is: 250,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,133.42 : 419,692.23 = 181,646.57 : x
  2. Step 2: Convert to fraction form
    304,133.42/419,692.23 = 181,646.57/x
  3. Step 3: Cross multiply
    304,133.42x = 419,692.23 × 181,646.57
  4. Step 4: Simplify right side
    304,133.42x = 76,235,651,936.69
  5. Step 5: Solve for x
    x = 76,235,651,936.69/304,133.42
  6. Step 6: Final answer
    x = 250,665.16

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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.