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Finding the Fourth Proportional to 419,973.70, 629,960.55 and 412,975.30

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Solution

The fourth proportional to 419,973.70, 629,960.55 and 412,975.30 is: 619,462.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,973.70 : 629,960.55 = 412,975.30 : x
  2. Step 2: Convert to fraction form
    419,973.70/629,960.55 = 412,975.30/x
  3. Step 3: Cross multiply
    419,973.70x = 629,960.55 × 412,975.30
  4. Step 4: Simplify right side
    419,973.70x = 260,158,147,124.42
  5. Step 5: Solve for x
    x = 260,158,147,124.42/419,973.70
  6. Step 6: Final answer
    x = 619,462.95

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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.