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Finding the Fourth Proportional to 473,147.81, 651,286.66 and 412,611.65

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Solution

The fourth proportional to 473,147.81, 651,286.66 and 412,611.65 is: 567,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,147.81 : 651,286.66 = 412,611.65 : x
  2. Step 2: Convert to fraction form
    473,147.81/651,286.66 = 412,611.65/x
  3. Step 3: Cross multiply
    473,147.81x = 651,286.66 × 412,611.65
  4. Step 4: Simplify right side
    473,147.81x = 268,728,462,242.56
  5. Step 5: Solve for x
    x = 268,728,462,242.56/473,147.81
  6. Step 6: Final answer
    x = 567,958.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.