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Finding the Fourth Proportional to 565,087.20, 847,198.80 and 284,805.60

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Solution

The fourth proportional to 565,087.20, 847,198.80 and 284,805.60 is: 426,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,087.20 : 847,198.80 = 284,805.60 : x
  2. Step 2: Convert to fraction form
    565,087.20/847,198.80 = 284,805.60/x
  3. Step 3: Cross multiply
    565,087.20x = 847,198.80 × 284,805.60
  4. Step 4: Simplify right side
    565,087.20x = 241,286,962,553.28
  5. Step 5: Solve for x
    x = 241,286,962,553.28/565,087.20
  6. Step 6: Final answer
    x = 426,990.67

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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.