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Finding the Fourth Proportional to 468,269.28, 646,208.62 and 264,322.80

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Solution

The fourth proportional to 468,269.28, 646,208.62 and 264,322.80 is: 364,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,269.28 : 646,208.62 = 264,322.80 : x
  2. Step 2: Convert to fraction form
    468,269.28/646,208.62 = 264,322.80/x
  3. Step 3: Cross multiply
    468,269.28x = 646,208.62 × 264,322.80
  4. Step 4: Simplify right side
    468,269.28x = 170,807,671,822.54
  5. Step 5: Solve for x
    x = 170,807,671,822.54/468,269.28
  6. Step 6: Final answer
    x = 364,763.78

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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.