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Finding the Fourth Proportional to 462,902.40, 693,835.20 and 263,318.40

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Solution

The fourth proportional to 462,902.40, 693,835.20 and 263,318.40 is: 394,682.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,902.40 : 693,835.20 = 263,318.40 : x
  2. Step 2: Convert to fraction form
    462,902.40/693,835.20 = 263,318.40/x
  3. Step 3: Cross multiply
    462,902.40x = 693,835.20 × 263,318.40
  4. Step 4: Simplify right side
    462,902.40x = 182,699,574,727.68
  5. Step 5: Solve for x
    x = 182,699,574,727.68/462,902.40
  6. Step 6: Final answer
    x = 394,682.71

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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.