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Finding the Fourth Proportional to 402,187.80, 603,281.70 and 267,468.60

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Solution

The fourth proportional to 402,187.80, 603,281.70 and 267,468.60 is: 401,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,187.80 : 603,281.70 = 267,468.60 : x
  2. Step 2: Convert to fraction form
    402,187.80/603,281.70 = 267,468.60/x
  3. Step 3: Cross multiply
    402,187.80x = 603,281.70 × 267,468.60
  4. Step 4: Simplify right side
    402,187.80x = 161,358,911,704.62
  5. Step 5: Solve for x
    x = 161,358,911,704.62/402,187.80
  6. Step 6: Final answer
    x = 401,202.90

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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.