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Finding the Fourth Proportional to 370,692.42, 511,554.96 and 200,926.59

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Solution

The fourth proportional to 370,692.42, 511,554.96 and 200,926.59 is: 277,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,692.42 : 511,554.96 = 200,926.59 : x
  2. Step 2: Convert to fraction form
    370,692.42/511,554.96 = 200,926.59/x
  3. Step 3: Cross multiply
    370,692.42x = 511,554.96 × 200,926.59
  4. Step 4: Simplify right side
    370,692.42x = 102,784,993,710.39
  5. Step 5: Solve for x
    x = 102,784,993,710.39/370,692.42
  6. Step 6: Final answer
    x = 277,278.38

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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.