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Finding the Fourth Proportional to 408,000.20, 611,402.70 and 365,880.20

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Solution

The fourth proportional to 408,000.20, 611,402.70 and 365,880.20 is: 548,284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,000.20 : 611,402.70 = 365,880.20 : x
  2. Step 2: Convert to fraction form
    408,000.20/611,402.70 = 365,880.20/x
  3. Step 3: Cross multiply
    408,000.20x = 611,402.70 × 365,880.20
  4. Step 4: Simplify right side
    408,000.20x = 223,700,142,156.54
  5. Step 5: Solve for x
    x = 223,700,142,156.54/408,000.20
  6. Step 6: Final answer
    x = 548,284.39

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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.