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Finding the Fourth Proportional to 419,965.70, 629,948.55 and 412,967.30

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Solution

The fourth proportional to 419,965.70, 629,948.55 and 412,967.30 is: 619,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,965.70 : 629,948.55 = 412,967.30 : x
  2. Step 2: Convert to fraction form
    419,965.70/629,948.55 = 412,967.30/x
  3. Step 3: Cross multiply
    419,965.70x = 629,948.55 × 412,967.30
  4. Step 4: Simplify right side
    419,965.70x = 260,148,151,832.42
  5. Step 5: Solve for x
    x = 260,148,151,832.42/419,965.70
  6. Step 6: Final answer
    x = 619,450.95

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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.