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Finding the Fourth Proportional to 654,286.65, 981,265.89 and 464,192.61

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Solution

The fourth proportional to 654,286.65, 981,265.89 and 464,192.61 is: 696,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,286.65 : 981,265.89 = 464,192.61 : x
  2. Step 2: Convert to fraction form
    654,286.65/981,265.89 = 464,192.61/x
  3. Step 3: Cross multiply
    654,286.65x = 981,265.89 × 464,192.61
  4. Step 4: Simplify right side
    654,286.65x = 455,496,372,644.05
  5. Step 5: Solve for x
    x = 455,496,372,644.05/654,286.65
  6. Step 6: Final answer
    x = 696,172.50

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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.