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Finding the Fourth Proportional to 408,082.70, 611,526.45 and 365,962.70

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Solution

The fourth proportional to 408,082.70, 611,526.45 and 365,962.70 is: 548,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,082.70 : 611,526.45 = 365,962.70 : x
  2. Step 2: Convert to fraction form
    408,082.70/611,526.45 = 365,962.70/x
  3. Step 3: Cross multiply
    408,082.70x = 611,526.45 × 365,962.70
  4. Step 4: Simplify right side
    408,082.70x = 223,795,870,763.42
  5. Step 5: Solve for x
    x = 223,795,870,763.42/408,082.70
  6. Step 6: Final answer
    x = 548,408.13

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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.