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Finding the Fourth Proportional to 312,344.47, 468,318.49 and 264,975.86

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Solution

The fourth proportional to 312,344.47, 468,318.49 and 264,975.86 is: 397,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,344.47 : 468,318.49 = 264,975.86 : x
  2. Step 2: Convert to fraction form
    312,344.47/468,318.49 = 264,975.86/x
  3. Step 3: Cross multiply
    312,344.47x = 468,318.49 × 264,975.86
  4. Step 4: Simplify right side
    312,344.47x = 124,093,094,641.65
  5. Step 5: Solve for x
    x = 124,093,094,641.65/312,344.47
  6. Step 6: Final answer
    x = 397,295.64

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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.