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Finding the Fourth Proportional to 393,200.20, 589,022.70 and 365,206.60

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Solution

The fourth proportional to 393,200.20, 589,022.70 and 365,206.60 is: 547,087.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,200.20 : 589,022.70 = 365,206.60 : x
  2. Step 2: Convert to fraction form
    393,200.20/589,022.70 = 365,206.60/x
  3. Step 3: Cross multiply
    393,200.20x = 589,022.70 × 365,206.60
  4. Step 4: Simplify right side
    393,200.20x = 215,114,977,589.82
  5. Step 5: Solve for x
    x = 215,114,977,589.82/393,200.20
  6. Step 6: Final answer
    x = 547,087.66

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1.5x scale

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.