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Finding the Fourth Proportional to 469,331.68, 647,673.78 and 265,422.64

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Solution

The fourth proportional to 469,331.68, 647,673.78 and 265,422.64 is: 366,281.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,331.68 : 647,673.78 = 265,422.64 : x
  2. Step 2: Convert to fraction form
    469,331.68/647,673.78 = 265,422.64/x
  3. Step 3: Cross multiply
    469,331.68x = 647,673.78 × 265,422.64
  4. Step 4: Simplify right side
    469,331.68x = 171,907,284,546.38
  5. Step 5: Solve for x
    x = 171,907,284,546.38/469,331.68
  6. Step 6: Final answer
    x = 366,281.02

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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.