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Finding the Fourth Proportional to 468,200.37, 646,124.81 and 264,292.05

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Solution

The fourth proportional to 468,200.37, 646,124.81 and 264,292.05 is: 364,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,200.37 : 646,124.81 = 264,292.05 : x
  2. Step 2: Convert to fraction form
    468,200.37/646,124.81 = 264,292.05/x
  3. Step 3: Cross multiply
    468,200.37x = 646,124.81 × 264,292.05
  4. Step 4: Simplify right side
    468,200.37x = 170,765,649,269.30
  5. Step 5: Solve for x
    x = 170,765,649,269.30/468,200.37
  6. Step 6: Final answer
    x = 364,727.71

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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.