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Finding the Fourth Proportional to 517,515.88, 714,183.14 and 288,085

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Solution

The fourth proportional to 517,515.88, 714,183.14 and 288,085 is: 397,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,515.88 : 714,183.14 = 288,085 : x
  2. Step 2: Convert to fraction form
    517,515.88/714,183.14 = 288,085/x
  3. Step 3: Cross multiply
    517,515.88x = 714,183.14 × 288,085
  4. Step 4: Simplify right side
    517,515.88x = 205,745,449,886.90
  5. Step 5: Solve for x
    x = 205,745,449,886.90/517,515.88
  6. Step 6: Final answer
    x = 397,563.55

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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.