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Finding the Fourth Proportional to 267,438.80, 401,028.60 and 148,984.40

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Solution

The fourth proportional to 267,438.80, 401,028.60 and 148,984.40 is: 223,404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,438.80 : 401,028.60 = 148,984.40 : x
  2. Step 2: Convert to fraction form
    267,438.80/401,028.60 = 148,984.40/x
  3. Step 3: Cross multiply
    267,438.80x = 401,028.60 × 148,984.40
  4. Step 4: Simplify right side
    267,438.80x = 59,747,005,353.84
  5. Step 5: Solve for x
    x = 59,747,005,353.84/267,438.80
  6. Step 6: Final answer
    x = 223,404.40

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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.