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Finding the Fourth Proportional to 267,580.80, 401,438.12 and 188,848.80

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Solution

The fourth proportional to 267,580.80, 401,438.12 and 188,848.80 is: 283,320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,580.80 : 401,438.12 = 188,848.80 : x
  2. Step 2: Convert to fraction form
    267,580.80/401,438.12 = 188,848.80/x
  3. Step 3: Cross multiply
    267,580.80x = 401,438.12 × 188,848.80
  4. Step 4: Simplify right side
    267,580.80x = 75,811,106,292.01
  5. Step 5: Solve for x
    x = 75,811,106,292.01/267,580.80
  6. Step 6: Final answer
    x = 283,320.43

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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.