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Finding the Fourth Proportional to 259,872, 389,808 and 62,880

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Solution

The fourth proportional to 259,872, 389,808 and 62,880 is: 94,320

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,872 : 389,808 = 62,880 : x
  2. Step 2: Convert to fraction form
    259,872/389,808 = 62,880/x
  3. Step 3: Cross multiply
    259,872x = 389,808 × 62,880
  4. Step 4: Simplify right side
    259,872x = 24,511,127,040
  5. Step 5: Solve for x
    x = 24,511,127,040/259,872
  6. Step 6: Final answer
    x = 94,320

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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.